Built on

Y. Lim, R. Takagi, G. Adesso, and S. Lee, Activation and superactivation of single-mode gaussian quantum channels, Physical Review A 99
Original
1901
Earlier work this paper cites.
N. Ramakrishnan, R. Iten, V. B. Scholz, and M. Berta, Computing quantum channel capacities, IEEE Transactions on Information Theory 67
Original
1905
Earlier work this paper cites.
K. Fang and H. Fawzi, Geometric rényi divergence and its applications in quantum channel capacities, Communications in Mathematical Physics 384
Original
1909
Earlier work this paper cites.
J. Bausch and F. Leditzky, Error thresholds for arbitrary pauli noise, SIAM Journal on Computing 50
Original
1910
Earlier work this paper cites.
M. Fanizza, F. Kianvash, and V. Giovannetti, Quantum flags and new bounds on the quantum capacity of the depolarizing channel, Physical Review Letters 125
Original
1911
Earlier work this paper cites.
X. Wang, Pursuing the fundamental limits for quantum communication, IEEE Transactions on Information Theory 67
Original
1912
Earlier work this paper cites.
C. E. Shannon, A mathematical theory of communication, Bell System Technical Journal 27
1948
Earlier work this paper cites.
A. Holevo, Bounds for the quantity of information transmitted by a quantum communication channel, Problems of Information Transmission 9
1973
Earlier work this paper cites.
C. H. Bennett and G. Brassard, Quantum cryptography: Public key distribution and coin tossing, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (India, 1984) p. 175
1984
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, Physical Review A 54
1996
Earlier work this paper cites.
P. W. Shor and J. A. Smolin, Quantum error-correcting codes need not completely reveal the error syndrome, arXiv preprint (1996), arXiv:quant-ph/9604006
1996
Earlier work this paper cites.
B. Schumacher and M. A. Nielsen, Quantum data processing and error correction, Physical Review A 54
1996
Earlier work this paper cites.
B. Schumacher and M. D. Westmoreland, Sending classical information via noisy quantum channels, Physical Review A 56
1997
Earlier work this paper cites.
S. Lloyd, Capacity of the noisy quantum channel, Physical Review A 55
1997
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, and J. A. Smolin, Capacities of quantum erasure channels, Physical Review Letters 78
1997
Earlier work this paper cites.
A. S. Holevo, The capacity of the quantum channel with general signal states, IEEE Transactions on Information Theory 44
1998
Earlier work this paper cites.
H. Barnum, M. A. Nielsen, and B. Schumacher, Information transmission through a noisy quantum channel, Physical Review A 57
1998
Earlier work this paper cites.
D. P. DiVincenzo, P. W. Shor, and J. A. Smolin, Quantum-channel capacity of very noisy channels, Physical Review A 57
1998
Earlier work this paper cites.
H. Barnum, E. Knill, and M. A. Nielsen, On quantum fidelities and channel capacities, IEEE Transactions on Information Theory 46
2000
Earlier work this paper cites.
P. Horodecki, M. Horodecki, and R. Horodecki, Binding entanglement channels, Journal of Modern Optics 47
2000
Earlier work this paper cites.
T. M. Cover and J. A. Thomas, Elements of Information Theory (John Wiley & Sons, Ltd, 2001)
2001
Earlier work this paper cites.
A. S. Holevo and R. F. Werner, Evaluating capacities of bosonic gaussian channels, Physical Review A 63
2001
Earlier work this paper cites.
C. King and M. B. Ruskai, Minimal entropy of states emerging from noisy quantum channels, IEEE Transactions on Information Theory 47
2001
Earlier work this paper cites.

Similar

P. W. Shor, Quantum error correction, in MSRI Workshop on Quantum Computation (2002) available at: https://www.msri.org/workshops/203/schedules/1181
2002
Cited alongside, same era.
C. King, Additivity for unital qubit channels, Journal of Mathematical Physics 43
2002
Cited alongside, same era.
V. Siddhu and R. B. Griffiths, Positivity and nonadditivity of quantum capacities using generalized erasure channels, IEEE Transactions on Information Theory 67
Original
2003
Cited alongside, same era.
V. Siddhu, Entropic singularities give rise to quantum transmission, Nature Communications 12
Original
2003
Cited alongside, same era.
C. King, The capacity of the quantum depolarizing channel, IEEE Transactions on Information Theory 49
2003
Cited alongside, same era.

Then

K. Horodecki, M. Horodecki, P. Horodecki, and J. Oppenheim, General paradigm for distilling classical key from quantum states, IEEE Transactions on Information Theory 55
2009
Later among the works it cites.
M. Fukuda, C. King, and D. K. Moser, Comments on hastings’ additivity counterexamples, Communications in Mathematical Physics 296
Original
2010
Later among the works it cites.
F. G. Brandao and M. Horodecki, On hastings’ counterexamples to the minimum output entropy additivity conjecture, Open Systems & Information Dynamics 17
Original
2010
Later among the works it cites.
V. Siddhu, Leaking information to gain entanglement, arXiv preprint (2020), arXiv:2011.15116 [quant-ph]
Original
2011
Later among the works it cites.
G. Smith, J. A. Smolin, and J. Yard, Quantum communication with gaussian channels of zero quantum capacity, Nature Photonics 5

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Reading the bibliography…

2022

Generic nonadditivity of quantum capacity in simple channels

Leditzky, Felix, Leung, Debbie, Siddhu, Vikesh et al.

Understand

Determining capacities of quantum channels is a fundamental question in quantum information theory.

Despite having rigorous coding theorems quantifying the flow of information across quantum channels, their capacities are poorly understood due to super-additivity effects.
Studying these phenomena is important for deepening our understanding of quantum information, yet simple and clean examples of super-additive channels are scarce.
Here we study a family of channels called platypus channels.

Built on

Y. Lim, R. Takagi, G. Adesso, and S. Lee, Activation and superactivation of single-mode gaussian quantum channels, Physical Review A 99
Original
1901
Earlier work this paper cites.
N. Ramakrishnan, R. Iten, V. B. Scholz, and M. Berta, Computing quantum channel capacities, IEEE Transactions on Information Theory 67
Original
1905
Earlier work this paper cites.
K. Fang and H. Fawzi, Geometric rényi divergence and its applications in quantum channel capacities, Communications in Mathematical Physics 384
Original
1909
Earlier work this paper cites.
J. Bausch and F. Leditzky, Error thresholds for arbitrary pauli noise, SIAM Journal on Computing 50
Original
1910
Earlier work this paper cites.
M. Fanizza, F. Kianvash, and V. Giovannetti, Quantum flags and new bounds on the quantum capacity of the depolarizing channel, Physical Review Letters 125
Original
1911
Earlier work this paper cites.
X. Wang, Pursuing the fundamental limits for quantum communication, IEEE Transactions on Information Theory 67
Original
1912
Earlier work this paper cites.
C. E. Shannon, A mathematical theory of communication, Bell System Technical Journal 27
1948
Earlier work this paper cites.
A. Holevo, Bounds for the quantity of information transmitted by a quantum communication channel, Problems of Information Transmission 9
1973
Earlier work this paper cites.
C. H. Bennett and G. Brassard, Quantum cryptography: Public key distribution and coin tossing, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing (India, 1984) p. 175
1984
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, Physical Review A 54
1996
Earlier work this paper cites.
P. W. Shor and J. A. Smolin, Quantum error-correcting codes need not completely reveal the error syndrome, arXiv preprint (1996), arXiv:quant-ph/9604006
1996
Earlier work this paper cites.
B. Schumacher and M. A. Nielsen, Quantum data processing and error correction, Physical Review A 54
1996
Earlier work this paper cites.
B. Schumacher and M. D. Westmoreland, Sending classical information via noisy quantum channels, Physical Review A 56
1997
Earlier work this paper cites.
S. Lloyd, Capacity of the noisy quantum channel, Physical Review A 55
1997
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, and J. A. Smolin, Capacities of quantum erasure channels, Physical Review Letters 78
1997
Earlier work this paper cites.
A. S. Holevo, The capacity of the quantum channel with general signal states, IEEE Transactions on Information Theory 44
1998
Earlier work this paper cites.
H. Barnum, M. A. Nielsen, and B. Schumacher, Information transmission through a noisy quantum channel, Physical Review A 57
1998
Earlier work this paper cites.
D. P. DiVincenzo, P. W. Shor, and J. A. Smolin, Quantum-channel capacity of very noisy channels, Physical Review A 57
1998
Earlier work this paper cites.
H. Barnum, E. Knill, and M. A. Nielsen, On quantum fidelities and channel capacities, IEEE Transactions on Information Theory 46
2000
Earlier work this paper cites.
P. Horodecki, M. Horodecki, and R. Horodecki, Binding entanglement channels, Journal of Modern Optics 47
2000
Earlier work this paper cites.
T. M. Cover and J. A. Thomas, Elements of Information Theory (John Wiley & Sons, Ltd, 2001)
2001
Earlier work this paper cites.
A. S. Holevo and R. F. Werner, Evaluating capacities of bosonic gaussian channels, Physical Review A 63
2001
Earlier work this paper cites.
C. King and M. B. Ruskai, Minimal entropy of states emerging from noisy quantum channels, IEEE Transactions on Information Theory 47
2001
Earlier work this paper cites.

Similar

P. W. Shor, Quantum error correction, in MSRI Workshop on Quantum Computation (2002) available at: https://www.msri.org/workshops/203/schedules/1181
2002
Cited alongside, same era.
C. King, Additivity for unital qubit channels, Journal of Mathematical Physics 43
2002
Cited alongside, same era.
V. Siddhu and R. B. Griffiths, Positivity and nonadditivity of quantum capacities using generalized erasure channels, IEEE Transactions on Information Theory 67
Original
2003
Cited alongside, same era.
V. Siddhu, Entropic singularities give rise to quantum transmission, Nature Communications 12
Original
2003
Cited alongside, same era.
C. King, The capacity of the quantum depolarizing channel, IEEE Transactions on Information Theory 49
2003
Cited alongside, same era.

Then

K. Horodecki, M. Horodecki, P. Horodecki, and J. Oppenheim, General paradigm for distilling classical key from quantum states, IEEE Transactions on Information Theory 55
2009
Later among the works it cites.
M. Fukuda, C. King, and D. K. Moser, Comments on hastings’ additivity counterexamples, Communications in Mathematical Physics 296
Original
2010
Later among the works it cites.
F. G. Brandao and M. Horodecki, On hastings’ counterexamples to the minimum output entropy additivity conjecture, Open Systems & Information Dynamics 17
Original
2010
Later among the works it cites.
V. Siddhu, Leaking information to gain entanglement, arXiv preprint (2020), arXiv:2011.15116 [quant-ph]
Original
2011
Later among the works it cites.
G. Smith, J. A. Smolin, and J. Yard, Quantum communication with gaussian channels of zero quantum capacity, Nature Photonics 5

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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C. H. Bennett and P. W. Shor, Quantum channel capacities, Science 303

2004

Cited alongside, same era.

N. Cai, A. Winter, and R. W. Yeung, Quantum privacy and quantum wiretap channels, Problems of Information Transmission 40

2004

Cited alongside, same era.

I. Devetak, The private classical capacity and quantum capacity of a quantum channel, IEEE Transactions on Information Theory 51

2005

Cited alongside, same era.

K. Horodecki, M. Horodecki, P. Horodecki, and J. Oppenheim, Secure key from bound entanglement, Physical Review Letters 94

2005

Cited alongside, same era.

I. Devetak and P. W. Shor, The capacity of a quantum channel for simultaneous transmission of classical and quantum information, Communications in Mathematical Physics 256

2005

Cited alongside, same era.

V. Giovannetti and R. Fazio, Information-capacity description of spin-chain correlations, Physical Review A 71

2005

Cited alongside, same era.

C. King, An application of the lieb-thirring inequality in quantum information theory, in XIVth International Congress on Mathematical Physics (2006) pp. 486–490, arXiv:quant-ph/0412046

2006

Cited alongside, same era.