Fetching the paper…
Reading the bibliography…
We investigate the extremality of stabilizer states to reveal their exceptional role in the space of all $n$-qubit/qudit states.
W. Heisenberg, Über den anschaulichen inhalt der quantentheoretischen kinematik und mechanik, Zeitschrift für Physik 43
1927
Earlier work this paper cites.
A. Jamiołkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep. Math. Phys. 3
1972
Earlier work this paper cites.
M.-D. Choi, Completely positive linear maps on complex matrices, Linear Algebra and its Application 10
1975
Earlier work this paper cites.
A. B. Zamolodchikov, Irreversibility of the flux of the renormalization group in a 2d field theory, JETP lett 43
1986
Earlier work this paper cites.
J. L. Cardy, Is there a c-theorem in four dimensions?, Physics Letters B 215
1988
Earlier work this paper cites.
H. Osborn, Derivation of a four dimensional c-theorem for renormaliseable quantum field theories, Physics Letters B 222
1989
Earlier work this paper cites.
D. L. Donoho and P. B. Stark, Uncertainty principles and signal recovery, SIAM Journal on Applied Mathematics 49
1989
Earlier work this paper cites.
K. T. Smith, The uncertainty principle on groups, SIAM Journal on Applied Mathematics 50
1990
Earlier work this paper cites.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory, Phys. Rev. A 52
1995
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Mixed-state entanglement and quantum error correction, Phys. Rev. A 54
1996
Earlier work this paper cites.
D. Gottesman, Stabilizer codes and quantum error correction, arXiv:quant-ph/9705052 (1997)
1997
Earlier work this paper cites.
N. J. Cerf and C. Adami, Negative entropy and information in quantum mechanics, Phys. Rev. Lett. 79
1997
Earlier work this paper cites.
D. Gottesman, The Heisenberg representation of quantum computers (1998) pp. 32–43, arXiv:quant-ph/9807006
1998
Earlier work this paper cites.
K. Życzkowski, P. Horodecki, A. Sanpera, and M. Lewenstein, Volume of the set of separable states, Phys. Rev. A 58
1998
Earlier work this paper cites.
A. S. Holevo, M. Sohma, and O. Hirota, Capacity of quantum Gaussian channels, Phys. Rev. A 59
1999
Earlier work this paper cites.
A. S. Holevo and R. F. Werner, Evaluating capacities of bosonic Gaussian channels, Phys. Rev. A 63
2001
Earlier work this paper cites.
G. Vidal and R. F. Werner, Computable measure of entanglement, Phys. Rev. A 65
2002
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Cited alongside, same era.
T. Tao, An uncertainty principle for cyclic groups of prime order, arXiv preprint math/0308286 (2003)
2003
Cited alongside, same era.
F. Grosshans and N. J. Cerf, Continuous-variable quantum cryptography is secure against non-Gaussian attacks, Phys. Rev. Lett. 92
2004
Cited alongside, same era.
M. Christandl and A. Winter, “squashed entanglement”: an additive entanglement measure, Journal of mathematical physics 45
2004
Cited alongside, same era.
J. Eisert and M. M. Wolf, Gaussian quantum channels, arXiv preprint quant-ph/0505151 (2005)
2005
Cited alongside, same era.
R. Renner, Security of quantum key distribution, arXiv:quant-ph/0512258 (2005)
C. Jiang, Z. Liu, and J. Wu, Noncommutative uncertainty principles, Journal of Functional Analysis 270
2016
Later among the works it cites.
D. E. Koh, Further extensions of Clifford circuits and their classical simulation complexities, Quantum Information & Computation 17
2017
Later among the works it cites.
Z. Liu, A. Wozniakowski, and A. M. Jaffe, Quon 3d language for quantum information, PNAS 114
2017
Later among the works it cites.
P. J. Coles, M. Berta, M. Tomamichel, and S. Wehner, Entropic uncertainty relations and their applications, Rev. Mod. Phys. 89
2017
Later among the works it cites.
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
M. Horodecki, J. Oppenheim, and A. Winter, Partial quantum information, Nature 436
2005
Cited alongside, same era.
M. M. Wolf, G. Giedke, and J. I. Cirac, Extremality of Gaussian quantum states, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
D. Gross, Hudson’s theorem for finite-dimensional quantum systems, J. Math. Phys. 47
2006
Cited alongside, same era.
R. Konig, R. Renner, and C. Schaffner, The operational meaning of min-and max-entropy, IEEE Transactions on Information theory 55
2009
Cited alongside, same era.
A. Montanaro and T. J. Osborne, Quantum Boolean functions, Chicago Journal of Theoretical Computer Science 2010
2010
Cited alongside, same era.
M. Berta, M. Christandl, R. Colbeck, J. M. Renes, and R. Renner, The uncertainty principle in the presence of quantum memory, Nature Physics 6
2010
Cited alongside, same era.
T. Nishioka, Entanglement entropy: Holography and renormalization group, Rev. Mod. Phys. 90
2018
Later among the works it cites.
S. Bravyi, D. Browne, P. Calpin, E. Campbell, D. Gosset, and M. Howard, Simulation of quantum circuits by low-rank stabilizer decompositions, Quantum 3
2019
Later among the works it cites.
K. Bu and D. E. Koh, Efficient classical simulation of Clifford circuits with nonstabilizer input states, Phys. Rev. Lett. 123
2019
Later among the works it cites.
M. Beverland, E. Campbell, M. Howard, and V. Kliuchnikov, Lower bounds on the non-Clifford resources for quantum computations, Quantum Sci. Technol. 5
2020
Later among the works it cites.
J. R. Seddon, B. Regula, H. Pashayan, Y. Ouyang, and E. T. Campbell, Quantifying quantum speedups: Improved classical simulation from tighter magic monotones, PRX Quantum 2
2021
Later among the works it cites.
P. Brown, H. Fawzi, and O. Fawzi, Computing conditional entropies for quantum correlations, Nature communications 12
2021
Later among the works it cites.
K. Bu and D. E. Koh, Classical simulation of quantum circuits by half Gauss sums, Commun. Math. Phys. 390
2022
Later among the works it cites.
Suppressing quantum errors by scaling a surface code logical qubit, Nature 614
2023
Later among the works it cites.
D. Aharonov, X. Gao, Z. Landau, Y. Liu, and U. Vazirani, A polynomial-time classical algorithm for noisy random circuit sampling, STOC , 945–957 (2023)
2023
Later among the works it cites.
R. J. Garcia, K. Bu, and A. Jaffe, Resource theory of quantum scrambling, Proceedings of the National Academy of Sciences 120
2023
Later among the works it cites.
D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, et al. , Logical quantum processor based on reconfigurable atom arrays, Nature 626
2024
Closest in time.