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Journal articles on the topic 'Negativity quantum field theory'

Author: Grafiati

Published: 14 March 2023

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1

Blondeau-Fournier, Olivier, Olalla A. Castro-Alvaredo, and Benjamin Doyon. "Universal scaling of the logarithmic negativity in massive quantum field theory." Journal of Physics A: Mathematical and Theoretical 49, no. 12 (February 9, 2016): 125401. http://dx.doi.org/10.1088/1751-8113/49/12/125401.

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2

ZOU, YAN. "QUANTUM ENTANGLEMENT IN THE SYSTEM OF ATOMS IN BELL STATE INTERACTING WITH THE TWO-MODE ODD–EVEN ENTANGLED COHERENT FIELD." International Journal of Quantum Information 08, no. 03 (April 2010): 493–504. http://dx.doi.org/10.1142/s0219749910006010.

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We studied the entanglement properties of the system consisting of two atoms in Bell states interacting with the two-mode odd-even entangled coherent field by utilizing the complete quantum theory. The influences of the initial Bell state of the atoms, the intensity of field, the coupling strength of interaction between atoms and the initial degree of the entanglement between the two-mode fields on the atomic entropy and on negativity are discussed by using numerical calculations. It turns out that the two atoms can keep their initial maximal entangled state while the two-atom and the two-mode field keep their initial disentangled state if the two atoms are initially in |β11〉. Therefore, for the initial atomic state |β00〉 or |β01〉, the increasing of the field intensity can be a help to prepare the atom-field entanglement, and for |β10〉, it is beneficial for the atom–atom entanglement. Meanwhile, for the initial atomic state |β10〉 and |β01〉, strong coupling strength of interaction between atoms is beneficial for the atom–atom entanglement, but for |β00〉, it can be helpful for the atom-field entanglement.

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3

Arreyes, Facundo, Federico Escudero, and Juan Sebastián Ardenghi. "Correlations in twisted double-layer graphene with virtual photons in a microcavity." Journal of Physics: Condensed Matter 34, no. 11 (January 4, 2022): 115602. http://dx.doi.org/10.1088/1361-648x/ac4400.

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Abstract We analyze the entanglement generation of a system composed of two decoupled rotated graphene layers inside a planar microcavity. By considering the electromagnetic field of the cavity in the vacuum state and using time-dependent perturbation theory it is possible to obtain the range of geometric parameters at which the quantum states of electrons in different layers are entangled. By employing the negativity measure, correlations between layers are obtained for time scales smaller than the light-crossing time of the layers. It is shown that the negativity measure is modulated by the rotation angle between layers, allowing manipulation of X states. Finally, an experimental protocol is analyzed in order to detect non-causal effects between layers, by allowing back-voltage switching functions in the two layers with supports that do not overlap in time. By turning off the second-back voltage at a time smaller than the light-crossing time, it is possible to obtain correlations between layers through the independent interaction with virtual photons. The exchange of virtual photons implies that the propagator can be nonzero outside the light cone and this non-causal propagation can create entangled quantum states.

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4

Alexander, Helder, I. G. da Paz, and Marcos Sampaio. "Entanglement between two scalar fields in an expanding spacetime." Modern Physics Letters A 32, no. 19 (May 25, 2017): 1750104. http://dx.doi.org/10.1142/s0217732317501048.

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We study the evolution of two scalar fields entangled via a mutual interaction in an expanding spacetime. We compute the logarithmic negativity to leading order in perturbation theory and show that for the lowest order in the coupling constants, the mutual interaction will give rise to the survival of the quantum correlations in the limit of the smooth expansion. The results suggest that interacting fields can codify more information about the underlying expansion spacetime and lead to interesting observable effects.

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5

Ivády, Viktor, Joel Davidsson, Nguyen Tien Son, Takeshi Ohshima, Igor A. Abrikosov, and Ádám Gali. "Ab Initio Theory of Si-Vacancy Quantum Bits in 4H and 6H-SiC." Materials Science Forum 924 (June 2018): 895–900. http://dx.doi.org/10.4028/www.scientific.net/msf.924.895.

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Point defects in wide band gap semiconductors have recently shown outstanding potential for implementing room temperature quantum bits and single photon emitters. These atomic scale tools can be used in various quantum information processing, sensing, and imaging applications. Silicon vacancy related photoluminescence centers in 4H, 6H, and 15R-SiC are among the most studied quantum bits that possess a particular spin-3/2 ground and excited state. The microscopic structures of these defects have been recently identified as isolated negatively charged silicon vacancy defects at the symmetrically non-equivalent silicon sites in SiC. Relying on this identification, here we carry out high precision ab initio simulations on negatively charged silicon vacancies in 4H and 6H-SiC and calculate the most important magneto-optical data, such as the zero-phonon photoluminescence energies, the zero-field-splitting, and the hyperfine tensors for the nearest and farther nuclear spins.

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6

Gali, Adam. "Excitation Properties of Silicon Vacancy in Silicon Carbide." Materials Science Forum 717-720 (May 2012): 255–58. http://dx.doi.org/10.4028/www.scientific.net/msf.717-720.255.

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Isolated point defects possessing high spin ground state and below-band-gap excitation may play a key role in realizing solid state quantum bits in semiconductors which are the basic building blocks of quantum computers. Silicon vacancy in silicon carbide provides these features making it a feasible candidate in this special and emerging field of science. However, it has been not clarified what is the exact nature of the luminescence of silicon vacancy detected in hexagonal polytypes. This is the first crucial step needed to understand this basic defect in silicon carbide. We report density functional theory based calculations on silicon vacancy defect. Based on the obtained results we identify the silicon vacancy related photoluminescence signals with the negatively charged defect.

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7

Tribollet, Jérôme. "Hybrid nanophotonic-nanomagnonic SiC-YiG quantum sensor: I/theoretical design and properties." European Physical Journal Applied Physics 90, no. 2 (May 2020): 20102. http://dx.doi.org/10.1051/epjap/2020200062.

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Here I present the theory of a new hybrid paramagnetic-ferrimagnetic SiC-YiG quantum sensor. It is designed to allow sub-nanoscale single external spin sensitivity optically detected pulsed electron electron double resonance spectroscopy, using an X band pulsed EPR spectrometer and an optical fiber. The sensor contains one single V2 negatively charged silicon vacancy color center in 4H-SiC, whose photoluminescence is waveguided by a 4H-SiC nanophotonic structure towards an optical fiber. This V2 spin probe is created by ion implantation at a depth of few nanometers below the surface, determined by optically detected paramagnetic resonance under the strong magnetic field gradient of a YiG ferrimagnetic nanostripe located on the back-side of the nanophotonic structure. This gradient also allow the study, slice by slice at nanoscale, of the target paramagnetic sample. The fabrication process of this quantum sensor, its magnetic and optical properties, its external spins sensing properties in a structural biology context, and its integration to a standard commercially available pulsed EPR spectrometer are all presented here.

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8

Mouslih, S., M. Jakha, I. Dahiri, S. Taj, B. Manaut, and E. Siher. "New phenomena in laser-assisted leptonic decays of the negatively charged boson W ⁻." Physica Scripta 97, no. 4 (March 24, 2022): 045306. http://dx.doi.org/10.1088/1402-4896/ac5d6e.

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Abstract The majority of studies and experiments performed at electron-positron colliders over the last two decades have focused on studying W and Z weak force-carrying bosons and accurately measuring all their properties, not only because they play an important role in establishing Standard Model theory and providing an accurate test of its predictions of particle interactions, but also because they are a unique tool for probing manifestations of the new physics beyond the standard model. Therefore, it would be particularly important to discuss some of the new phenomena and changes that can arise in these bosons when their decay occurs under an external electromagnetic field. In a recent paper, we investigated the laser effect on the final products of Z boson decay and found that laser had an unprecedented effect on branching ratios. In this work and within the standard Glashow-Weinberg-Salam model of electroweak interactions, we study theoretically the leptonic decay of the W −-boson ( W − → ℓ − ν ¯ ℓ ) in the presence of a circularly polarized electromagnetic field and we examine the laser effect, in terms of its field strength and frequency, on the leptonic decay rate and the phenomenon of multiphoton processes. The calculations are carried out using the exact relativistic wave functions of charged particles in an electromagnetic field. It was found that the laser significantly contributed to reducing the probability of W −-boson decay. We show that the laser-assisted decay rate is equal to the laser-free one only when the famous Kroll-Watson sum rule is fulfilled. The notable effect of the laser on the leptonic decay rate was reasonably interpreted by the well-known quantum Zeno effect or by the opening of channels other than leptonic ones to decay. This work will pave the way for an upcoming one to study the hadronic decay of the W −-boson and then explore the laser effect on its lifetime and branching ratios.

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9

Ghannadan, Azadeh, and Jozef Strečka. "Magnetic-Field-Orientation Dependent Thermal Entanglement of a Spin-1 Heisenberg Dimer: The Case Study of Dinuclear Nickel Complex with an Uniaxial Single-Ion Anisotropy." Molecules 26, no. 11 (June 5, 2021): 3420. http://dx.doi.org/10.3390/molecules26113420.

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The bipartite entanglement in pure and mixed states of a quantum spin-1 Heisenberg dimer with exchange and uniaxial single-ion anisotropies is quantified through the negativity in a presence of the external magnetic field. At zero temperature the negativity shows a marked stepwise dependence on a magnetic field with two abrupt jumps and plateaus, which can be attributed to the quantum antiferromagnetic and quantum ferrimagnetic ground states. The magnetic-field-driven phase transition between the quantum antiferromagnetic and quantum ferrimagnetic ground states manifests itself at nonzero temperatures by a local minimum of the negativity, which is followed by a peculiar field-induced rise of the negativity observable in a range of moderately strong magnetic fields. The rising temperature generally smears out abrupt jumps and plateaus of the negativity, which cannot be distinguished in the relevant dependencies above a certain temperature. It is shown that the thermal entanglement is most persistent against rising temperature at the magnetic field, for which an energy gap between a ground state and a first excited state is highest. Besides, temperature variations of the negativity of the spin-1 Heisenberg dimer with an easy-axis single-ion anisotropy may exhibit a singular point-kink, at which the negativity has discontinuity in its first derivative. The homodinuclear nickel complex [Ni2(Medpt)2(μ-ox)(H2O)2](ClO4)2·2H2O provides a suitable experimental platform of the antiferromagnetic spin-1 Heisenberg dimer, which allowed us to estimate a strength of the bipartite entanglement between two exchange-coupled Ni2+ magnetic ions on the grounds of the interaction constants reported previously from the fitting procedure of the magnetization data. It is verified that the negativity of this dinuclear compound is highly magnetic-field-orientation dependent due to presence of a relatively strong uniaxial single-ion anisotropy.

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10

Calabrese, Pasquale, John Cardy, and Erik Tonni. "Finite temperature entanglement negativity in conformal field theory." Journal of Physics A: Mathematical and Theoretical 48, no. 1 (December 8, 2014): 015006. http://dx.doi.org/10.1088/1751-8113/48/1/015006.

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11

LI, XIAO-JING, HUI-HUI JI, and XI-WEN HOU. "THERMAL DISCORD AND NEGATIVITY IN A TWO-SPIN-QUTRIT SYSTEM UNDER DIFFERENT MAGNETIC FIELDS." International Journal of Quantum Information 11, no. 08 (December 2013): 1350070. http://dx.doi.org/10.1142/s0219749913500706.

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The characterization of quantum discord (QD) has been well understood only for two-qubit states and is little known for mixed states beyond qubits. In this work, thermal quantum discord is studied for a qutrit system in different magnetic fields, where classical correlation and entanglement negativity are calculated for comparison. It is shown that the discord is more robust against temperature than the negativity. For a suitable region of magnetic field and its direction, the discord is non-zero while the negativity is zero. When the system is at a lower temperature, these three quantities, however, display a similar behavior for the varied field and direction, and their discontinuities come from crossovers between different ground states in the system. Moreover, the inequality between the quantum and classical correlations depends upon the system parameters as well as the temperature. In particular, both correlations are equal at a suitable field, direction, and temperature. Remarkably, such an equality remains for a strong field in the antiparallel direction, while both correlations in two-qubit systems are identical for any antiparallel field and temperature. These are useful for quantum information and understanding quantum correlations in qutrit mixed states.

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12

Yuan, Ya-Li, and Xi-Wen Hou. "Thermal geometric discords in a two-qutrit system." International Journal of Quantum Information 14, no. 03 (April 2016): 1650016. http://dx.doi.org/10.1142/s0219749916500167.

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The investigation of quantum discord has mostly focused on two-qubit systems due to the complicated minimization involved in quantum discord for high-dimensional states. In this work, three geometric discords are studied for the thermal state in a two-qutrit system with various couplings, external magnetic fields, and temperatures as well, where the entanglement measured in terms of the generalized negativity is calculated for reference. It is shown that three geometric discords are more robust against temperature and magnetic field than the entanglement negativity. However, all four quantities exhibit a similar behavior at lower temperature and weak magnetic field. Remarkably, three geometric discords at finite temperature reveal the phenomenon of double sudden changes at different magnetic fields while the negativity does not. Moreover, the hierarchy among three discords is discussed. Those adjustable discords with the varied coupling, temperature, and magnetic field are useful for the understanding of quantum correlations in high-dimensional states and quantum information processing.

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13

Hudson, R. L., and L. S. Brown. "Quantum Field Theory." Mathematical Gazette 79, no. 484 (March 1995): 249. http://dx.doi.org/10.2307/3620134.

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14

Wilczek, Frank. "Quantum field theory." Reviews of Modern Physics 71, no. 2 (March 1, 1999): S85—S95. http://dx.doi.org/10.1103/revmodphys.71.s85.

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15

Collins, P. D. B. "Quantum Field Theory." Physics Bulletin 36, no. 9 (September 1985): 391. http://dx.doi.org/10.1088/0031-9112/36/9/028.

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16

Mandl, F., G. Shaw, and Stephen Gasiorowicz. "Quantum Field Theory." Physics Today 38, no. 10 (October 1985): 111–12. http://dx.doi.org/10.1063/1.2814741.

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17

Collins, P. D. B. "Quantum Field Theory." Physics Bulletin 37, no. 7 (July 1986): 304. http://dx.doi.org/10.1088/0031-9112/37/7/030.

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18

Unger, H. J. "Quantum Field Theory." Zeitschrift für Physikalische Chemie 187, Part_1 (January 1994): 155–56. http://dx.doi.org/10.1524/zpch.1994.187.part_1.155a.

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19

Uhlmann, A. "Quantum Field Theory." Zeitschrift für Physikalische Chemie 194, Part_1 (January 1996): 130. http://dx.doi.org/10.1524/zpch.1996.194.part_1.130.

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20

Brown, Lowell S., Michio Kaku, and O. W. Greenberg. "Quantum Field Theory and Quantum Field Theory: A Modern Introduction." Physics Today 47, no. 2 (February 1994): 104–6. http://dx.doi.org/10.1063/1.2808409.

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21

Yang, Jing, Qi-Xiong Mu, and Yan-Xia Huang. "The dynamics of tripartite quantum correlations under Ornstein–Uhlenbeck noise." Modern Physics Letters B 32, no. 31 (November 10, 2018): 1850381. http://dx.doi.org/10.1142/s0217984918503815.

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The dynamics of the tripartite thermal entanglement measured by Negativity (N) and the tripartite quantum correlation described by measurement-induced disturbance (MID) under Ornstein–Uhlenbeck noise are investigated. This study has found that the tripartite N and MID can be preserved more effectively in the non-Markovian environment than in the short-time limit and the Markov limit cases. The short-time limit is a better approximation than the Markov limit. MID vanishes only in the asymptotic limit, while entanglement sudden death may occur, and the decreasing duration of MID far outweighs entanglement. This implies that MID is more robust than Negativity. As the noise bandwidth increases, the disentanglement time and the decay time of MID are significantly shorter. The increase of XZX[Formula: see text]+[Formula: see text]YZY three-site interaction is more effective than XZY−YZX three-site interaction to enhance Negativity and MID as well as the disentanglement time. The magnetic field diminishes Negativity and MID, but has no significant influence on the decreasing durations of both Negativity and MID.

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22

Doplicher, Sergio. "Quantum Field Theory on Quantum Spacetime." Journal of Physics: Conference Series 53 (November 1, 2006): 793–98. http://dx.doi.org/10.1088/1742-6596/53/1/051.

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23

Ou, Y. C., and M. S. Byrd. "Computable constraints on entanglement-sharing of multipartite quantum states." Quantum Information and Computation 10, no. 3&4 (March 2010): 223–38. http://dx.doi.org/10.26421/qic10.3-4-4.

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\Negativity is regarded as an important measure of entanglement in quantum information theory. In contrast to other measures of entanglement, it is easily computable for bipartite states in arbitrary dimensions. In this paper, based on the negativity and realignment, we provide a set of entanglement-sharing constraints for multipartite states, where the entanglement is not necessarily limited to bipartite and pure states, thus aiding in the quantification of constraints for entanglement-sharing. These may find applications in studying many-body systems.

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24

SCHLINGEMANN, DIRK. "FROM EUCLIDEAN FIELD THEORY TO QUANTUM FIELD THEORY." Reviews in Mathematical Physics 11, no. 09 (October 1999): 1151–78. http://dx.doi.org/10.1142/s0129055x99000362.

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In order to construct examples for interacting quantum field theory models, the methods of Euclidean field theory turned out to be powerful tools since they make use of the techniques of classical statistical mechanics. Starting from an appropriate set of Euclidean n-point functions (Schwinger distributions), a Wightman theory can be reconstructed by an application of the famous Osterwalder–Schrader reconstruction theorem. This procedure (Wick rotation), which relates classical statistical mechanics and quantum field theory, is, however, somewhat subtle. It relies on the analytic properties of the Euclidean n-point functions. We shall present here a C*-algebraic version of the Osterwalder–Schrader reconstruction theorem. We shall see that, via our reconstruction scheme, a Haag–Kastler net of bounded operators can directly be reconstructed. Our considerations also include objects, like Wilson loop variables, which are not point-like localized objects like distributions. This point of view may also be helpful for constructing gauge theories.

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25

Potvin, Jean, Harvey Gould, and Jan Tobochnik. "Computational Quantum-Field Theory." Computers in Physics 7, no. 2 (1993): 149. http://dx.doi.org/10.1063/1.4823157.

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26

Adler, Stephen L. "Quaternionic Quantum Field Theory." Physical Review Letters 55, no. 13 (September 23, 1985): 1430. http://dx.doi.org/10.1103/physrevlett.55.1430.2.

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27

Adler, Stephen L. "Quaternionic Quantum Field Theory." Physical Review Letters 55, no. 8 (August 19, 1985): 783–86. http://dx.doi.org/10.1103/physrevlett.55.783.

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28

STERMAN, GEORGE. "PERTURBATIVE QUANTUM FIELD THEORY." International Journal of Modern Physics A 16, no. 18 (July 20, 2001): 3041–65. http://dx.doi.org/10.1142/s0217751x01004402.

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This talk introduces perturbative quantum field on a heuristic level. It is directed at an audience familiar with elements of quantum mechanics, but not necessarily with high energy physics. It includes a discussion of the strategies behind experimental tests of fundamental theories, and of the field theory interpretations of these tests.

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29

Brandt, Howard E. "Finslerian quantum field theory." Nonlinear Analysis: Theory, Methods & Applications 63, no. 5-7 (November 2005): e119-e130. http://dx.doi.org/10.1016/j.na.2005.02.085.

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30

Ruetsche, Laura. "Interpreting Quantum Field Theory*." Philosophy of Science 69, no. 2 (June 2002): 348–78. http://dx.doi.org/10.1086/341047.

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31

Oeckl, Robert. "Braided Quantum Field Theory." Communications in Mathematical Physics 217, no. 2 (March 1, 2001): 451–73. http://dx.doi.org/10.1007/s002200100375.

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32

Alder, Stephen L. "Quaternionic quantum field theory." Communications in Mathematical Physics 104, no. 4 (December 1986): 611–56. http://dx.doi.org/10.1007/bf01211069.

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33

W.F.A. "Renormalized quantum field theory." Mathematics and Computers in Simulation 33, no. 2 (August 1991): 177. http://dx.doi.org/10.1016/0378-4754(91)90169-4.

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34

Bejleri, Dori, and Matilde Marcolli. "Quantum field theory overF1." Journal of Geometry and Physics 69 (July 2013): 40–59. http://dx.doi.org/10.1016/j.geomphys.2013.03.002.

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35

Freed, Daniel S., and Constantin Teleman. "Relative Quantum Field Theory." Communications in Mathematical Physics 326, no. 2 (January 31, 2014): 459–76. http://dx.doi.org/10.1007/s00220-013-1880-1.

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36

HAAG, RUDOLF. "UNDERSTANDING QUANTUM FIELD THEORY." International Journal of Modern Physics B 10, no. 13n14 (June 30, 1996): 1469–72. http://dx.doi.org/10.1142/s021797929600057x.

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37

Streater, Raymond. "Wightman quantum field theory." Scholarpedia 4, no. 5 (2009): 7123. http://dx.doi.org/10.4249/scholarpedia.7123.

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38

MÃÂ¼nster, Gernot. "Lattice quantum field theory." Scholarpedia 5, no. 12 (2010): 8613. http://dx.doi.org/10.4249/scholarpedia.8613.

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39

Gurau, Razvan, Jacques Magnen, and Vincent Rivasseau. "Tree Quantum Field Theory." Annales Henri Poincaré 10, no. 5 (July 25, 2009): 867–91. http://dx.doi.org/10.1007/s00023-009-0002-2.

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40

Jaffe, Arthur. "Euclidean quantum field theory." Nuclear Physics B 254 (January 1985): 31–43. http://dx.doi.org/10.1016/0550-3213(85)90208-1.

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41

Rohrlich, Fritz. "Interpreting quantum field theory." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27, no. 1 (March 1996): 91–98. http://dx.doi.org/10.1016/1355-2198(95)00024-0.

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42

Witten, Edward. "Topological quantum field theory." Communications in Mathematical Physics 117, no. 3 (September 1988): 353–86. http://dx.doi.org/10.1007/bf01223371.

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43

Grosse, H., and R. Wulkenhaar. "Noncommutative quantum field theory." Fortschritte der Physik 62, no. 9-10 (July 4, 2014): 797–811. http://dx.doi.org/10.1002/prop.201400020.

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44

Berrada, K. "Quantum and Classical Quantifiers for Atom-Nonlinear Field System under Decoherence." Open Systems & Information Dynamics 20, no. 01 (March 2013): 1350001. http://dx.doi.org/10.1142/s1230161213500017.

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The entanglement and coherence of a single qubit and deformed bosonic field inside a phase-damped cavity are discussed. In the classical q → 1 limit, analytic results under certain parametric conditions are obtained. The influence of deformation and dissipation on the negativity, Wehrl entropy, atomic Wehrl entropy and marginal distribution is studied. An interesting relation between the entanglement, deformation and decoherence effects is observed.

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45

Alba, Vincenzo. "Entanglement negativity and conformal field theory: a Monte Carlo study." Journal of Statistical Mechanics: Theory and Experiment 2013, no. 05 (May 17, 2013): P05013. http://dx.doi.org/10.1088/1742-5468/2013/05/p05013.

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46

Hoogeveen, Marianne, and Benjamin Doyon. "Entanglement negativity and entropy in non-equilibrium conformal field theory." Nuclear Physics B 898 (September 2015): 78–112. http://dx.doi.org/10.1016/j.nuclphysb.2015.06.021.

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47

De Bièvre, Stephan, Dmitri Horoshko, Giuseppe Patera, and Mikhail Kolobov. "A new nonclassicality measure for the quantum states of a bosonic field." EPJ Web of Conferences 198 (2019): 00013. http://dx.doi.org/10.1051/epjconf/201919800013.

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We review a recently proposed measure of the nonclassicality of a bosonic field, based on the sensitivity of its quasi-probability distributions to ordering of the creation and annihilation operators. We illustrate the new measure by several concrete examples and show its advantages compared to other measures of nonclassicality such as the Wigner function negativity and the entanglement potential.

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48

Freed, D. S. "K-theory in quantum field theory." Current Developments in Mathematics 2001, no. 1 (2001): 41–887. http://dx.doi.org/10.4310/cdm.2001.v2001.n1.a2.

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49

Lori, Nicolás, José Neves, and José Machado. "Quantum Field Theory Representation in Quantum Computation." Applied Sciences 11, no. 23 (November 28, 2021): 11272. http://dx.doi.org/10.3390/app112311272.

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Recently, from the deduction of the result MIP* = RE in quantum computation, it was obtained that Quantum Field Theory (QFT) allows for different forms of computation in quantum computers that Quantum Mechanics (QM) does not allow. Thus, there must exist forms of computation in the QFT representation of the Universe that the QM representation does not allow. We explain in a simple manner how the QFT representation allows for different forms of computation by describing the differences between QFT and QM, and obtain why the future of quantum computation will require the use of QFT.

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50

Gogioso, Stefano, and Fabrizio Genovese. "Quantum Field Theory in Categorical Quantum Mechanics." Electronic Proceedings in Theoretical Computer Science 287 (January 31, 2019): 163–77. http://dx.doi.org/10.4204/eptcs.287.9.

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