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Free-fermionic states, also known as fermionic Gaussian states, represent an important class of quantum states ubiquitous in physics.
L. Onsager, Crystal statistics. i. a two-dimensional model with an order-disorder transition, Phys. Rev. 65
1944
Earlier work this paper cites.
R. Bhatia, Matrix analysis , Graduate Texts in Mathematics (Springer New York, 1996)
1996
Earlier work this paper cites.
D. Gottesman, The Heisenberg representation of quantum computers (1998), arXiv:quant-ph/9807006
1998
Earlier work this paper cites.
C. A. Fuchs and J. van de Graaf, Cryptographic distinguishability measures for quantum-mechanical states, IEEE Trans. Inf. Th. 45
1999
Earlier work this paper cites.
E. Knill, Fermionic linear optics and matchgates (2001), arXiv:quant-ph/0108033
2001
Earlier work this paper cites.
B. M. Terhal and D. P. DiVincenzo, Classical simulation of noninteracting-fermion quantum circuits, Phys. Rev. A 65
2002
Earlier work this paper cites.
B. Zumino, Normal forms of complex matrices, J. Math. Phys. 3
2004
Earlier work this paper cites.
P. Echenique and J. L. Alonso, A mathematical and computational review of Hartree–Fock SCF methods in quantum chemistry, Mol. Phys. 105
2007
Earlier work this paper cites.
J. Eisert and M. M. Wolf, Gaussian quantum channels, in Quantum Information with Continous Variables of Atoms and Light (Imperial College Press, London, 2007) pp. 23–42, arXiv:quant-ph/0505151
2007
Earlier work this paper cites.
R. Jördens, N. Strohmaier, K. Günter, H. Moritz, and T. Esslinger, A Mott insulator of fermionic atoms in an optical lattice, Nature 455
2008
Earlier work this paper cites.
R. Jozsa and A. Miyake, Matchgates and classical simulation of quantum circuits, Proc. Roy. Soc. A 464
2008
Earlier work this paper cites.
M. G. Genoni, M. G. A. Paris, and K. Banaszek, Quantifying the non-Gaussian character of a quantum state by quantum relative entropy, Phys. Rev. A 78
2008
Earlier work this paper cites.
M. Cramer, M. B. Plenio, S. T. Flammia, R. Somma, D. Gross, S. D. Bartlett, O. Landon-Cardinal, D. Poulin, and Y.-K. Liu, Efficient quantum state tomography, Nature Comm. 1
2010
Earlier work this paper cites.
T.-Y. Tam and M. C. Thompson, Determinant and Pfaffian of sum of skew symmetric matrices, Lin. Alg. Appl. 433
2010
Earlier work this paper cites.
P. Marian and T. A. Marian, Relative entropy is an exact measure of non-Gaussianity, Phys. Rev. A 88
2013
Earlier work this paper cites.
R. Hübener, A. Mari, and J. Eisert, Wick’s theorem for matrix product states, Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
T. Baumgratz, D. Gross, M. Cramer, and M. B. Plenio, Scalable reconstruction of density matrices, Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
L. Banchi, P. Giorda, and P. Zanardi, Quantum information-geometry of dissipative quantum phase transitions, Phys. Rev. E 89
2014
Earlier work this paper cites.
L. Aolita, C. Gogolin, M. Kliesch, and J. Eisert, Reliable quantum certification for photonic quantum technologies, Nature Comm. 6
2015
Earlier work this paper cites.
J. Gao, Quantum union bounds for sequential projective measurements, Phys. Rev. A 92
2015
Earlier work this paper cites.
S. Bravyi and D. Gosset, Improved classical simulation of quantum circuits dominated by Clifford gates, Phys. Rev. Lett. 116
2016
Earlier work this paper cites.
J. Wright, How to learn a quantum state , Ph.D. thesis, Carnegie Mellon University (2016)
2016
Earlier work this paper cites.
M. Gluza, C. Krumnow, M. Friesdorf, C. Gogolin, and J. Eisert, Equilibration via Gaussification in fermionic lattice systems, Phys. Rev. Lett. 117
2016
Earlier work this paper cites.
J. Haah, A. W. Harrow, Z. Ji, X. Wu, and N. Yu, Sample-optimal tomography of quantum states, IEEE Trans. Inf. Th. , 1–1 (2017)
2017
Earlier work this paper cites.
A. Montanaro, Learning stabilizer states by Bell sampling (2017), arXiv:1707.04012
2017
Cited alongside, same era.
M. M. Wilde, Quantum Information Theory , 2nd ed. (Cambridge University Press, 2017)
2017
Cited alongside, same era.
B. P. Lanyon, C. Maier, T. B. Milan Holzäpfel, C. Hempel, P. Jurcevic, I. Dhand, A. S. Buyskikh, A. J. Daley, M. Cramer, M. B. Plenio, R. Blatt, and C. F. Roos, Efficient tomography of a quantum many-body system, Nature Phys. 13
2017
Cited alongside, same era.
D. Hangleiter, M. Kliesch, M. Schwarz, and J. Eisert, Direct certification of a class of quantum simulations, Quantum Sci. Technol. 2
2017
Cited alongside, same era.
S. Bravyi and D. Gosset, Complexity of quantum impurity problems, Commun. Math. Phys. 356
2017
Cited alongside, same era.
2023
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Later among the works it cites.
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F. Pastawski, J. Eisert, and H. Wilming, Towards holography via quantum source-channel codes, Phys. Rev. Lett. 119
2017
Cited alongside, same era.
M. Gluza, M. Kliesch, J. Eisert, and L. Aolita, Fidelity witnesses for fermionic quantum simulations, Phys. Rev. Lett. 120
2018
Cited alongside, same era.
Z. Jiang, K. J. Sung, K. Kechedzhi, V. N. Smelyanskiy, and S. Boixo, Quantum algorithms to simulate many-body physics of correlated fermions, Phys. Rev. Applied 9
2018
Cited alongside, same era.
A. Chapman and A. Miyake, Classical simulation of quantum circuits by dynamical localization: Analytic results for pauli-observable scrambling in time-dependent disorder, Phys. Rev. A 98
2018
Cited alongside, same era.
2018
Cited alongside, same era.
J. Preskill, Quantum Computing in the NISQ era and beyond, Quantum 2
2018
Cited alongside, same era.
E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys. 91
2019
Cited alongside, same era.
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J. Zhang and M. A. Rajabpour, Trace distance between fermionic Gaussian states from a truncation method, Phys. Rev. A 108
2023
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