Academic literature on the topic 'Frequency qubits'

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Journal articles on the topic "Frequency qubits":

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Bhattacharyya, Shaman, and Somnath Bhattacharyya. "Demonstration of the Holonomically Controlled Non-Abelian Geometric Phase in a Three-Qubit System of a Nitrogen Vacancy Center." Entropy 24, no. 11 (November 2, 2022): 1593. http://dx.doi.org/10.3390/e24111593.

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The holonomic approach to controlling (nitrogen-vacancy) NV-center qubits provides an elegant way of theoretically devising universal quantum gates that operate on qubits via calculable microwave pulses. There is, however, a lack of simulated results from the theory of holonomic control of quantum registers with more than two qubits describing the transition between the dark states. Considering this, we have been experimenting with the IBM Quantum Experience technology to determine the capabilities of simulating holonomic control of NV-centers for three qubits describing an eight-level system that produces a non-Abelian geometric phase. The tunability of the geometric phase via the detuning frequency is demonstrated through the high fidelity (~85%) of three-qubit off-resonant holonomic gates over the on-resonant ones. The transition between the dark states shows the alignment of the gate’s dark state with the qubit’s initial state hence decoherence of the multi-qubit system is well-controlled through a π/3 rotation.
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Bashkirov, Eugene K. "Entanglement between two charge qubits taking account the Kerr media." Physics of Wave Processes and Radio Systems 27, no. 1 (March 29, 2024): 26–34. http://dx.doi.org/10.18469/1810-3189.2024.27.1.26-34.

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Background. The need to implement controlled coupling between qubits, which are the logical elements of quantum devices such as quantum computers and quantum networks, requires, along with the use of traditional methods, the development of new, more effective ways to organize the interaction of qubits with the microwave fields of resonators used to generate and control the entanglement of qubits. As one of these methods, a method based on the influence of frequency-regulated radio frequency signals on a superconducting Josephson qubit connected by a large Josephson junction to a free qubit has been proposed. Aim. The influence of the Kerr medium of the resonator, in which one of the two qubits is placed, on their entanglement induced by the coherent or thermal frequency-regulated radio frequency field of the resonator is considered. Methods. To analyze the dynamics of the system under consideration, the solution of the quantum Liouville equation for the full density matrix is studied. An exact solution o this equation is found in the case of initial separable and entangled states of qubits. The exact solution of the evolution equation is used to calculate the criterion of qubit-qubit entanglement – cconcurrence. Numerical modeling of the concurrence was carried out for various states of qubits, coherent and thermal fields of the resonator, as well as various values of the intensity of the resonator field and the Kerr nonlinearity parameter. Results. It is shown that for separable initial states of qubits, the inclusion of Kerr nonlinearity reduces the maximum degree of entanglement of qubits. For an entangled initial state of qubits, the possibility of creating long-lived entangled states in the presence of Kerr nonlinearity is shown. Conclusion. The type of initial states of qubits and the range of values of the intensities of the resonator fields and the Kerr nonlinearity parameters have been established, for which the most effective control and operation of the evolution of qubits, as well as the degree of their entanglement, in the physical system under consideration, is possible.
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Dykman, M. I., L. F. Santos, M. Shapiro, and F. M. Izrailev. "On-site localization of excitations." Quantum Information and Computation 5, no. 4&5 (July 2005): 335–49. http://dx.doi.org/10.26421/qic5.45-5.

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We demonstrate that, in a quantum computer with perpetually coupled qubits, all excitations can be confined to their sites (qubits) even without refocusing. The on-site localization is obtained by constructing a sequence of qubit energies that efficiently suppresses resonant hopping. The time during which a many-excitation state remains strongly localized in an infinite chain can exceed the reciprocal hopping frequency by $\agt 10^5$ already for a moderate bandwidth of qubit energies. The proposed energy sequence is also convenient for performing quantum operations on the qubits.
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Tholén, Mats O., Riccardo Borgani, Giuseppe Ruggero Di Carlo, Andreas Bengtsson, Christian Križan, Marina Kudra, Giovanna Tancredi, et al. "Measurement and control of a superconducting quantum processor with a fully integrated radio-frequency system on a chip." Review of Scientific Instruments 93, no. 10 (October 1, 2022): 104711. http://dx.doi.org/10.1063/5.0101398.

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We describe a digital microwave platform called Presto, designed for measurement and control of multiple quantum bits (qubits) and based on the third-generation radio-frequency system on a chip. Presto uses direct digital synthesis to create signals up to 9 GHz on 16 synchronous output ports, while synchronously analyzing responses on 16 input ports. Presto has 16 DC-bias outputs, four inputs and four outputs for digital triggers or markers, and two continuous-wave outputs for synthesizing frequencies up to 15 GHz. Scaling to a large number of qubits is enabled through deterministic synchronization of multiple Presto units. A Python application programming interface configures a firmware for synthesis and analysis of pulses, coordinated by an event sequencer. The analysis integrates template matching (matched filtering) and low-latency (184–254 ns) feedback to enable a wide range of multi-qubit experiments. We demonstrate Presto’s capabilities with experiments on a sample consisting of two superconducting qubits connected via a flux-tunable coupler. We show single-shot readout and active reset of a single qubit; randomized benchmarking of single-qubit gates showing 99.972% fidelity, limited by the coherence time of the qubit; and calibration of a two-qubit iSWAP gate.
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MASTELLONE, A., A. D'ARRIGO, E. PALADINO, and G. FALCI. "PROTECTED COMPUTATIONAL SUBSPACES OF COUPLED SUPERCONDUCTING QUBITS." International Journal of Quantum Information 06, supp01 (July 2008): 645–50. http://dx.doi.org/10.1142/s0219749908003906.

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We discuss the effect of low-frequency noise on interacting superconducting qubits in a fixed coupling scheme. By properly choosing operating conditions, within the adiabatic framework the systems develops two decoupled subspaces. The subspace where a SWAP operation takes place turns out to be resilient to low frequency fluctuations. The possibility to encode a single qubit in a protected two-physical-qubit system subspace is briefly discussed.
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Kubo, Kentaro, and Hayato Goto. "Fast parametric two-qubit gate for highly detuned fixed-frequency superconducting qubits using a double-transmon coupler." Applied Physics Letters 122, no. 6 (February 6, 2023): 064001. http://dx.doi.org/10.1063/5.0138699.

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High-performance two-qubit gates have been reported with superconducting qubits coupled via a single-transmon coupler (STC). Most of them are implemented for qubits with a small detuning since reducing residual ZZ coupling for highly detuned qubits by an STC is challenging. In terms of the frequency crowding and crosstalk, however, highly detuned qubits are desirable. Here, we numerically demonstrate a high-performance parametric gate for highly detuned fixed-frequency qubits using a recently proposed tunable coupler called a double-transmon coupler (DTC). Applying an ac flux pulse, we can perform a maximally entangling universal gate ([Formula: see text]) with an average fidelity over 99.99% and a short gate time of about 24 ns. This speed is comparable to resonance-based gates for slightly detuned tunable qubits. Moreover, using a dc flux pulse alternatively, we can achieve another kind of entangling gate called a CZ gate with an average fidelity over 99.99% and a gate time of about 18 ns. Given the flexibility and feasible settings, we can expect that the DTC will contribute towards realizing a high-performance quantum computer in the near future.
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Greenaway, Sean, Adam Smith, Florian Mintert, and Daniel Malz. "Analogue Quantum Simulation with Fixed-Frequency Transmon Qubits." Quantum 8 (February 22, 2024): 1263. http://dx.doi.org/10.22331/q-2024-02-22-1263.

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We experimentally assess the suitability of transmon qubits with fixed frequencies and fixed interactions for the realization of analogue quantum simulations of spin systems. We test a set of necessary criteria for this goal on a commercial quantum processor using full quantum process tomography and more efficient Hamiltonian tomography. Significant single qubit errors at low amplitudes are identified as a limiting factor preventing the realization of analogue simulations on currently available devices. We additionally find spurious dynamics in the absence of drive pulses, which we identify with coherent coupling between the qubit and a low dimensional environment. With moderate improvements, analogue simulation of a rich family of time-dependent many-body spin Hamiltonians may be possible.
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Takeda, Kenta, Jun Kamioka, Tomohiro Otsuka, Jun Yoneda, Takashi Nakajima, Matthieu R. Delbecq, Shinichi Amaha, et al. "A fault-tolerant addressable spin qubit in a natural silicon quantum dot." Science Advances 2, no. 8 (August 2016): e1600694. http://dx.doi.org/10.1126/sciadv.1600694.

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Fault-tolerant quantum computing requires high-fidelity qubits. This has been achieved in various solid-state systems, including isotopically purified silicon, but is yet to be accomplished in industry-standard natural (unpurified) silicon, mainly as a result of the dephasing caused by residual nuclear spins. This high fidelity can be achieved by speeding up the qubit operation and/or prolonging the dephasing time, that is, increasing the Rabi oscillation quality factor Q (the Rabi oscillation decay time divided by the π rotation time). In isotopically purified silicon quantum dots, only the second approach has been used, leaving the qubit operation slow. We apply the first approach to demonstrate an addressable fault-tolerant qubit using a natural silicon double quantum dot with a micromagnet that is optimally designed for fast spin control. This optimized design allows access to Rabi frequencies up to 35 MHz, which is two orders of magnitude greater than that achieved in previous studies. We find the optimum Q = 140 in such high-frequency range at a Rabi frequency of 10 MHz. This leads to a qubit fidelity of 99.6% measured via randomized benchmarking, which is the highest reported for natural silicon qubits and comparable to that obtained in isotopically purified silicon quantum dot–based qubits. This result can inspire contributions to quantum computing from industrial communities.
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Fabre, Nicolas. "Teleportation-Based Error Correction Protocol of Time–Frequency Qubit States." Applied Sciences 13, no. 16 (August 21, 2023): 9462. http://dx.doi.org/10.3390/app13169462.

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We present a linear optical protocol for teleporting and correcting both temporal and frequency errors in two time–frequency qubit states. The first state is the frequency (or time-of-arrival) cat qubit, which is a single photon in a superposition of two frequencies (or time-of-arrival), while the second is the time–frequency Gottesman–Kitaev–Preskill (GKP) state, which is a single photon with a frequency comb structure. The proposed optical scheme could be valuable for reducing the error rate in quantum communication protocols involving one of these qubits.
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Гринберг, Я. С., and А. А. Штыгашев. "Импульсное возбуждение в двухкубитных системах." Физика твердого тела 60, no. 11 (2018): 2069. http://dx.doi.org/10.21883/ftt.2018.11.46641.02nn.

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AbstractThe temporal dynamics of absorption of a single-photon pulse by two qubits interacting with a microwave field of a one-dimensional waveguide have been studied. The theory, which allows one to use arbitrary shapes of the input single-photon wave packet as an initial condition, as well as investigate the excitation dynamics of each qubit, has been developed. The numerical calculation is performed for the packet of a Gaussian shape, at different parameters of frequency detuning and duration of the input pulse. The excitation dynamics of both identical and nonidentical qubits have been studied. It has been specifically shown that it is possible to form symmetric and antisymmetric entangled states for identical qubits.

Dissertations / Theses on the topic "Frequency qubits":

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Checkley, Chris. "Andreev interferometry of flux qubits driven by radio frequency field." Thesis, Royal Holloway, University of London, 2009. http://repository.royalholloway.ac.uk/items/3cad7ac1-cda2-3276-c635-8a4eef474b9f/10/.

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In this thesis we present the continuing work done examining a system in which an Andreev interferometer is used to probe the state of a flux qubit. In particular, we show that the back action of the interferometer on the qubit is low enough that an energy gap can still be observed in the qubit, and present the first experimental evidence of resonant excitation of a flux qubit detected using an Andreev interferometer. We begin by discussing the theory of flux qubits and Andreev interferometers individually. We then go on to examine what happens when with these two types of structures are combined, with particular attention being paid to the consequences for the coherence time of the qubit. We then discuss the practical elements of the experiment, notably the development of a tri-layer resists system that can be used to create high quality mesoscopic structures. We present the experimental results, which show the evidence for resonant excitation of a qubit detected using an Andreev interferometer. The quality of these resonances suggests that the system has a coherence time of less than 1ns. To conclude we examine some ways in which we believe the system can be improved in order to allow more detailed spectroscopic and time resolved measurements.
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Henry, Antoine. "Frequency-domain quantum information processing with multimode quantum states of light from integrated sources at telecom wavelengths." Electronic Thesis or Diss., Institut polytechnique de Paris, 2023. http://www.theses.fr/2023IPPAT042.

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En information quantique, un encodage sur les degrés de liberté temps et fréquence donne accès à un espace de Hilbert de grande dimension pour les états photoniques ce qui autorise le traitement en parallèle d'un grand nombre de qubits voire de qudits. C'est dans ce cadre que se situe cette thèse sur la génération et la manipulation d'états quantiques photoniques aux longueurs d'onde télécom. Nous présentons trois réalisations. La première est la génération efficace de paires de photons par processus non-linéaire du second et du troisième ordre dans des sources intégrées innovantes : un guide en niobate de lithium sur isolant, en couche mince et à inversion de domaines periodique, et un micro-résonateur en silicium sur isolant possédant un intervalle spectral libre de 21 GHz. La deuxième est le développement de concepts, de modèles et d'optimisations numériques pour la manipulation de qubits et qudits photoniques dans les espaces temps fréquence avec des éléments linéaires. Nous utilisons des filtres programmables (PF) et des modulateurs de phase électro-optiques (EOM). Nous comparons les performances théoriques de portes à 1 qubit pour deux configurations de composants [EOM-PF-EOM] et [PF-EOM-PF] dans les deux types d'encodage temps et fréquence. La troisième est la démonstration expérimentale d'une telle manipulation de qubits fréquentiels issus du microrésonateur en Silicium. Nous utilisons la configuration [EOM-PF-EOM] pour implémenter une porte quantique reconfigurable et accordable. Un seul paramètre variable permet de passer d'une porte identité à une porte Hadamard, ainsi qu'à un continuum de portes intermédiaires. Nous démontrons la parallélisation de 34 de ces portes appliquées à 17 états à deux qubits intriqués en fréquence générés par le résonateur. Nous utilisons ensuite ces portes pour réaliser la tomographie quantique des états intriqués et pour mettre en oeuvre un protocole de distribution de clef quantique basé sur l'intrication des deux photons en fréquence. Nous faisons finalement la démonstration inédite d'un réseau multi-utilisateur sans nœuds sécurisés en encodage fréquentiel. Cette expérience constitue une preuve de principe pour la distribution de clé quantique dans le domaine fréquentiel avec un débit de 2 bits par seconde en simultané pour chacune des paires d'utilisateurs dans un réseau de 5 utilisateurs
In quantum information, encoding in time and frequency degrees of freedom gives access to a high-dimensional Hilbert space for photonic states, enabling parallel processing of a large number of qubits or even qudits. This is the scope of our work on the generation and manipulation of photonic quantum states at telecom wavelengths with three main achievements. The first one is the efficient generation of photon pairs by second and third-order nonlinear processes in innovative integrated sources: a thin-film, periodically-poled lithium niobate-on-insulator waveguide, and a silicon-on-insulator micro-resonator with a free spectral range of 21 GHz. The second one is the development of concepts, models, and numerical optimizations for the manipulation of photonic qubits and qudits in time-frequency spaces with linear devices. We use programmable filters (PF) and electro-optical phase modulators (EOM). We compare the theoretical performance of 1-qubit gates for two configurations [EOM-PF-EOM] and [PF-EOM-PF] in both time and frequency encoding. The third one is the experimental demonstration of such manipulation of frequency qubits from the silicon microresonator. We use the [EOM-PF-EOM] configuration to implement a reconfigurable and tunable quantum gate. A single tunable parameter is used to go from an identity gate to a Hadamard gate, as well as to a continuum of intermediate gates. We then use these gates to perform quantum tomography of entangled states and to implement a quantum key distribution protocol based on two-photon frequency entanglement. Finally, we demonstrate a frequency-encoded multi-user network without trusted nodes. This experiment constitutes a proof of principle for quantum key distribution in the frequency domain at a rate of 2 bits per second simultaneously for each pair of users in a 5-user network
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Paschke, Anna-Greta [Verfasser]. "9Be+ ion qubit control using an optical frequency comb / Anna-Greta Paschke." Hannover : Technische Informationsbibliothek (TIB), 2017. http://d-nb.info/1149693614/34.

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Nguyen, Francois. "Cooper pair box circuits : two‐qubit gate, single‐shot readout, and current to frequency conversion." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2008. http://tel.archives-ouvertes.fr/tel-00390074.

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During this thesis, we have used superconducting circuits with Josephson junctions, derived from the Cooper pair box, in order to implement quantum bits (qubits).
To implement two-qubit gates, we have developed a new circuit, the quantroswap, which consists in two capacitively coupled Cooper pair box, each of them being manipulated and read separately. We have demonstrated coherent exchange of energy between them, but we have also observed a problem of qubit instability.
In order to avoid this spurious effect, we have implemented another circuit based on a charge insensitive split Cooper pair box coupled to a non-linear resonator for readout-out purpose. We have measured large coherence time, and obtained large readout fidelity (90%) using the bifurcation phenomenon.
For metrological purpose, microwave reflectometry measurement on a quantronium also allowed us to relate an applied current I to the frequency f=I/2e of induced Bloch oscillations.
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Nguyen, François. "Cooper pair box circuits : two-qubit gate, single-shot readout, and current to frequency conversion." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2008. http://tel.archives-ouvertes.fr/tel-00812431.

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Cette thèse porte sur le développement de circuits supraconducteurs à jonctions Josephson, issus de la boîte à paire de Cooper, pour réaliser des bits quantiques (qubits). La version quantronium de ce circuit avait déjà démontré une cohérence quantique assez bonne pour faire des portes logiques à un qubit. Pour réaliser des portes logiques à deux qubits, nous avons développé un circuit, le quantroswap, fait de deux quantroniums couplés, chaque qubit pouvant être piloté et mesuré séparément. Nous avons démontré l'échange cohérent d'état entre les deux qubits, mais aussi observé un effet rédhibitoire d'instabilité dans ces qubits. Pour l'éviter, nous avons réalisé un nouveau circuit fait d'une boite à paires de Cooper insensible au bruit en charge électrique et stable, couplée à un résonateur non linéaire pour sa lecture. Nous avons obtenu un temps de cohérence long (~1 μs), et une très bonne fidélité de lecture (90%) du qubit en utilisant le phénomène de bifurcation. Dans un but métrologique, la mesure par réflectométrie microonde du quantronium a aussi permis de relier un courant I injecté dans le circuit à la fréquence f=I/2e des oscillations de Bloch induites.
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Walter, Jochen. "Pulse and hold switching current readout of superconducting quantum circuits." Doctoral thesis, Stockholm : AlbaNova universitetscentrum, Kungliga tekniska högskolan, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4156.

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Sete, Eyob Alebachew. "Quantum Coherence Effects in Novel Quantum Optical Systems." Thesis, 2012. http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11400.

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Optical response of an active medium can substantially be modified when coherent superpositions of states are excited, that is, when systems display quantum coherence and interference. This has led to fascinating applications in atomic and molecular systems. Examples include coherent population trapping, lasing without inversion, electromagnetically induced transparency, cooperative spontaneous emission, and quantum entanglement. We study quantum coherence effects in several quantum optical systems and find interesting applications. We show that quantum coherence can lead to transient Raman lasing and lasing without inversion in short wavelength spectral regions--extreme ultraviolet and x-ray--without the requirement of incoherent pumping. For example, we demonstrate transient Raman lasing at 58.4 nm in Helium atom and transient lasing without inversion at 6.1 nm in Helium-like Boron (triply-ionized Boron). We also investigate dynamical properties of a collective superradiant state prepared by absorption of a single photon when the size of the sample is larger than the radiation wavelength. We show that for large number of atoms such a state, to a good approximation, decays exponentially with a rate proportional to the number of atoms. We also find that the collective frequency shift resulting from repeated emission and reabsorption of short-lived virtual photons is proportional to the number of species in the sample. Furthermore, we examine how a position-dependent excitation phase affects the evolution of entanglement between two dipole-coupled qubits. It turns out that the coherence induced by position-dependent excitation phase slows down the otherwise fast decay of the two-qubit entanglement. We also show that it is possible to entangle two spatially separated and uncoupled qubits via interaction with correlated photons in a cavity quantum electrodynamics setup. Finally, we analyze how quantum coherence can be used to generate continuous-variable entanglement in quantum-beat lasers in steady state and propose possible implementation in quantum lithography.

Book chapters on the topic "Frequency qubits":

1

Galperin, Y. M., B. L. Altshuler, and D. V. Shantsev. "Low-Frequency Noise as a Source of Dephasing of a Qubit." In NATO Science Series II: Mathematics, Physics and Chemistry, 141–65. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-2193-3_9.

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Cleland, Andrew N. "Coupling Superconducting Qubits to Electromagnetic and Piezomechanical Resonators." In Quantum Optomechanics and Nanomechanics, 237–76. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198828143.003.0006.

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Quantum bits have been under intense development since the late 1990s, due to the discovery of a number of potential applications for engineered quantum systems to problems in computation or communication. As superconducting circuits provide a straightforward path to scaling up to large numbers of qubits and are exible in terms of their application to a range of different problems, This chapter focuses on the problem of coupling superconducting qubits to other systems, in particular to microwave frequency electromagnetic resonators as well as mechanical resonators. It begins by introducing the topics of piezoelectricity and its role in solid mechanics, then turns to a description of one flavour of superconducting qubit, the phase qubit. It then describes how the phase qubit can be used to control and measure a superconducting electromagnetic resonator, and concludes by describing how a phase qubit can also be used to control and measure a piezomechanical resonator.

Conference papers on the topic "Frequency qubits":

1

Nori, Franco. "Quantum-information-processing using superconducting qubit circuits." In Workshop on Entanglement and Quantum Decoherence. Washington, D.C.: Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.sss2.

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Superconducting (SC) circuits can behave like atoms making transitions between a few energy levels. Such circuits can test quantum mechanics at macroscopic scales and be used to conduct atomic-physics experiments on a silicon chip. This talk overviews a few of our theoretical studies on SC circuits and quantum information processing (QIP) including: SC qubits for single photon generation and for lasing; controllable couplings among qubits; how to increase the coherence time of qubits using a capacitor in parallel to one of the qubit junctions; hybrid circuits involving both charge and flux qubits; testing Bell’s inequality in SC circuits; generation of GHZ states; quantum tomography in SC circuits; preparation of macroscopic quantum superposition states of a cavity field via coupling to a SC qubit; generation of nonclassical photon states using a SC qubit in a microcavity; scalable quantum computing with SC qubits; and information processing with SC qubits in a microwave field. Controllable couplings between qubits can be achieved either directly or indirectly. This can be done with and without coupler circuits, and with and without data-buses like EM fields in cavities (e.g., we will describe both the variable-frequency magnetic flux approach and also a generalized double-resonance approach that we introduced). It is also possible to “turn a quantum bug into a feature” by using microscopic defects as qubits, and the macroscopic junction as a controller of it. We have also studied ways to implement radically different approaches to QIP by using “cluster states” in SC circuits.
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Liu, Yu-xi, and Franco Nori. "Controllable inter-qubit couplings in superconductor quantum circuits." In Workshop on Entanglement and Quantum Decoherence. Washington, D.C.: Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.sss1.

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After a brief review on superconducting qubits, we overview our recent studies on controllable couplings in superconducting flux qubits via a variable frequency (ac) magnetic flux. In particular: (i) we describe how to use a variable frequency magnetic flux to control the coupling between two inductively coupled flux qubits, (ii) Based on this approach, using a variable frequency controlled coupling, we present a proposal on how to achieve scalable quantum computing circuits with flux qubits. We also explain why superconducting qubits can be coupled and addressed as trapped ions, as well as describe how to utilize dressed states to couple and decouple qubits and the data bus.
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Kues, Michael, Christian Reimer, Piotr Roztocki, Benjamin Wetzel, Fabio Grazioso, Yaron Bromberg, Brent E. Little, et al. "On-Chip Frequency Comb of Entangled Qubits." In Latin America Optics and Photonics Conference. Washington, D.C.: OSA, 2016. http://dx.doi.org/10.1364/laop.2016.ltu2d.4.

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Domínguez-Serna, F. A. "A CNOT Proposal for Temporal-Mode Qubits Based on the Difference Frequency Generation Process." In Frontiers in Optics. Washington, D.C.: Optica Publishing Group, 2023. http://dx.doi.org/10.1364/fio.2023.jtu5a.53.

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Multiple proposals exist for implementing quantum operations on light-based qubits. We propose a nonlinear optics approach using the Difference Frequency Generation process for probabilistic CNOT gates in color qubits, analogous to polarization-based operations [1].
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Reimer, Christian, Michael Kues, Piotr Roztocki, Benjamin Wetzel, Yaron Bromberg, Brent E. Little, Sai T. Chu, David J. Moss, Lucia Caspani, and Roberto Morandotti. "Integrated Quantum Frequency Comb Source of Entangled Qubits." In CLEO: QELS_Fundamental Science. Washington, D.C.: OSA, 2016. http://dx.doi.org/10.1364/cleo_qels.2016.fth4a.3.

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Clementi, M., F. A. Sabattoli, H. El Dirani, N. Bergamasco, L. Gianini, L. Youssef, C. Petit-Etienne, et al. "High Brightness programmable source of frequency-bin qubits." In Quantum 2.0. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/quantum.2022.qw3b.5.

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Ouvrier-Buffet, Mathilde, Alexandre Siligaris, and Jose Luis Gonzalez-Jimenez. "Multi- Tone Frequency Generator for Gate-Based Readout of Spin Qubits." In 2022 IEEE Radio Frequency Integrated Circuits Symposium (RFIC). IEEE, 2022. http://dx.doi.org/10.1109/rfic54546.2022.9863161.

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Lu, Hsuan-Hao, Joseph M. Lukens, Poolad Imany, Nicholas A. Peters, Brian P. Williams, Andrew M. Weiner, and Pavel Lougovski. "Experimental demonstration of CNOT gate for frequency-encoded qubits." In Frontiers in Optics. Washington, D.C.: OSA, 2018. http://dx.doi.org/10.1364/fio.2018.jtu3a.55.

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Huntington, Elanor, Gregory Milford, Craig Robilliard, and Timothy Ralph. "Components for optical qubits in the radio frequency basis." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/iqec.2004.imc4.

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Ding, Yongshan, Pranav Gokhale, Sophia Fuhui Lin, Richard Rines, Thomas Propson, and Frederic T. Chong. "Systematic Crosstalk Mitigation for Superconducting Qubits via Frequency-Aware Compilation." In 2020 53rd Annual IEEE/ACM International Symposium on Microarchitecture (MICRO). IEEE, 2020. http://dx.doi.org/10.1109/micro50266.2020.00028.

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