Built on

L. M. Procopio, F. Delgado, M. Enriquez, N. Belabas, and J. A. Levenson, Communication enhancement through quantum coherent control of N {N} channels in an indefinite causal-order scenario, Entropy 21
Original
1902
Earlier work this paper cites.
N. Paunkovic and M. Vojinovic, Causal orders, quantum circuits and spacetime: distinguishing between definite and superposed causal orders, Quantum 4
Original
1905
Earlier work this paper cites.
N. Loizeau and A. Grinbaum, Channel capacity enhancement with indefinite causal order, Phys. Rev. A 101
Original
1906
Earlier work this paper cites.
L. M. Procopio, F. Delgado, M. Enriquez, N. Belabas, and J. A. Levenson, Sending classical information via three noisy channels in superposition of causal orders, Phys. Rev. A 101
Original
1910
Earlier work this paper cites.
H. Kristjánsson, G. Chiribella, S. Salek, D. Ebler, and M. Wilson, Resource theories of communication with quantum superpositions of processes, New J. Phys. 22
Original
1910
Earlier work this paper cites.
Q. Dong, S. Nakayama, A. Soeda, and M. Murao, Controlled quantum operations and combs, and their applications to universal controllization of divisible unitary operations (2019), arXiv:1911.01645 [quant-ph]
Original
1911
Earlier work this paper cites.
W. F. Stinespring, Positive functions on C ∗ C^{*} -algebras, Proc. Amer. Math. Soc. 6
1955
Earlier work this paper cites.
M.-D. Choi, Completely positive linear maps on complex matrices, Linear Algebra Appl. 10
1975
Earlier work this paper cites.
K. Kraus, States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer-Verlag, Berlin Heidelberg, 1983)
1983
Earlier work this paper cites.
B. Schumacher and M. D. Westmoreland, Sending classical information via noisy quantum channels, Phys. Rev. A 56
1997
Earlier work this paper cites.
S. Lloyd, Capacity of the noisy quantum channel, Phys. Rev. A 55
1997
Earlier work this paper cites.
A. S. Holevo, The capacity of the quantum channel with general signal states, IEEE Trans. Inf. Theory 44
1998
Earlier work this paper cites.
A. Ambainis, M. Mosca, A. Tapp, and R. De Wolf, Private quantum channels, in Proc. 41st Annual Symposium on Foundations of Computer Science (IEEE, 2000) pp. 547–553
2000
Earlier work this paper cites.
M. M. Taddei, J. C. ne, D. Martínez, T. García, N. Guerrero, A. A. Abbott, M. Araújo, C. Branciard, E. S. Gómez, S. P. Walborn, L. Aolita, and G. Lima, Experimental computational advantage from superposition of multiple temporal orders of quantum gates (2020), arXiv:2002.07817 [quant-ph]
Original
2002
Earlier work this paper cites.
P. W. Shor, The quantum channel capacity and coherent information, in Lecture notes, MSRI Workshop on Quantum Computation (2002)
2002
Earlier work this paper cites.
D. K. L. Oi, Interference of quantum channels, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
J. Åberg, Subspace preservation, subspace locality, and gluing of completely positive maps, Ann. Phys. 313
2004
Earlier work this paper cites.
N. Gisin, N. Linden, S. Massar, and S. Popescu, Error filtration and entanglement purification for quantum communication, Phys. Rev. A 72
2005
Earlier work this paper cites.
I. Devetak, The private classical capacity and quantum capacity of a quantum channel, IEEE Trans. Inf. Theory 51
2005
Earlier work this paper cites.

Similar

G. Chiribella, G. M. D’Ariano, and P. Perinotti, Transforming quantum operations: Quantum supermaps, EPL 83
Original
2008
Cited alongside, same era.
B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’Brien, A. Gilchrist, and A. G. White, Simplifying quantum logic using higher-dimensional Hilbert spaces, Nat. Phys. 5
Original
2009
Cited alongside, same era.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, NY, USA, 2011)
2011
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X.-Q. Zhou, T. C. Ralph, P. Kalasuwan, M. Zhang, A. Peruzzo, B. P. Lanyon, and J. L. O’Brien, Adding control to arbitrary unknown quantum operations, Nat. Commun. 2
Original
2011
Cited alongside, same era.
O. Oreshkov, F. Costa, and Č. Brukner, Quantum correlations with no causal order, Nat. Commun. 3

Then

A. Feix, M. Araújo, and Č. Brukner, Quantum superposition of the order of parties as a communication resource, Phys. Rev. A 92
Original
2015
Later among the works it cites.
N. Friis, A. A. Melnikov, G. Kirchmair, and H. J. Briegel, Coherent controlization using superconducting qubits, Sci. Rep. 5
Original
2015
Later among the works it cites.
V. Dunjko, N. Friis, and H. J. Briegel, Quantum-enhanced deliberation of learning agents using trapped ions, New J. Phys. 17
Original
2015
Later among the works it cites.
T. M. Rambo, J. B. Altepeter, P. Kumar, and G. M. D’Ariano, Functional quantum computing: An optical approach, Phys. Rev. A 93
Original
2016
Later among the works it cites.
O. Oreshkov and C. Giarmatzi, Causal and causally separable processes, New J. Phys. 18

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2018

Communication through coherent control of quantum channels

Abbott, Alastair A., Wechs, Julian, Horsman, Dominic et al.

Understand

A completely depolarising quantum channel always outputs a fully mixed state and thus cannot transmit any information.

In a recent Letter [D.
Ebler et al., Phys.
Rev.

Built on

L. M. Procopio, F. Delgado, M. Enriquez, N. Belabas, and J. A. Levenson, Communication enhancement through quantum coherent control of N {N} channels in an indefinite causal-order scenario, Entropy 21
Original
1902
Earlier work this paper cites.
N. Paunkovic and M. Vojinovic, Causal orders, quantum circuits and spacetime: distinguishing between definite and superposed causal orders, Quantum 4
Original
1905
Earlier work this paper cites.
N. Loizeau and A. Grinbaum, Channel capacity enhancement with indefinite causal order, Phys. Rev. A 101
Original
1906
Earlier work this paper cites.
L. M. Procopio, F. Delgado, M. Enriquez, N. Belabas, and J. A. Levenson, Sending classical information via three noisy channels in superposition of causal orders, Phys. Rev. A 101
Original
1910
Earlier work this paper cites.
H. Kristjánsson, G. Chiribella, S. Salek, D. Ebler, and M. Wilson, Resource theories of communication with quantum superpositions of processes, New J. Phys. 22
Original
1910
Earlier work this paper cites.
Q. Dong, S. Nakayama, A. Soeda, and M. Murao, Controlled quantum operations and combs, and their applications to universal controllization of divisible unitary operations (2019), arXiv:1911.01645 [quant-ph]
Original
1911
Earlier work this paper cites.
W. F. Stinespring, Positive functions on C ∗ C^{*} -algebras, Proc. Amer. Math. Soc. 6
1955
Earlier work this paper cites.
M.-D. Choi, Completely positive linear maps on complex matrices, Linear Algebra Appl. 10
1975
Earlier work this paper cites.
K. Kraus, States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer-Verlag, Berlin Heidelberg, 1983)
1983
Earlier work this paper cites.
B. Schumacher and M. D. Westmoreland, Sending classical information via noisy quantum channels, Phys. Rev. A 56
1997
Earlier work this paper cites.
S. Lloyd, Capacity of the noisy quantum channel, Phys. Rev. A 55
1997
Earlier work this paper cites.
A. S. Holevo, The capacity of the quantum channel with general signal states, IEEE Trans. Inf. Theory 44
1998
Earlier work this paper cites.
A. Ambainis, M. Mosca, A. Tapp, and R. De Wolf, Private quantum channels, in Proc. 41st Annual Symposium on Foundations of Computer Science (IEEE, 2000) pp. 547–553
2000
Earlier work this paper cites.
M. M. Taddei, J. C. ne, D. Martínez, T. García, N. Guerrero, A. A. Abbott, M. Araújo, C. Branciard, E. S. Gómez, S. P. Walborn, L. Aolita, and G. Lima, Experimental computational advantage from superposition of multiple temporal orders of quantum gates (2020), arXiv:2002.07817 [quant-ph]
Original
2002
Earlier work this paper cites.
P. W. Shor, The quantum channel capacity and coherent information, in Lecture notes, MSRI Workshop on Quantum Computation (2002)
2002
Earlier work this paper cites.
D. K. L. Oi, Interference of quantum channels, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
J. Åberg, Subspace preservation, subspace locality, and gluing of completely positive maps, Ann. Phys. 313
2004
Earlier work this paper cites.
N. Gisin, N. Linden, S. Massar, and S. Popescu, Error filtration and entanglement purification for quantum communication, Phys. Rev. A 72
2005
Earlier work this paper cites.
I. Devetak, The private classical capacity and quantum capacity of a quantum channel, IEEE Trans. Inf. Theory 51
2005
Earlier work this paper cites.

Similar

G. Chiribella, G. M. D’Ariano, and P. Perinotti, Transforming quantum operations: Quantum supermaps, EPL 83
Original
2008
Cited alongside, same era.
B. P. Lanyon, M. Barbieri, M. P. Almeida, T. Jennewein, T. C. Ralph, K. J. Resch, G. J. Pryde, J. L. O’Brien, A. Gilchrist, and A. G. White, Simplifying quantum logic using higher-dimensional Hilbert spaces, Nat. Phys. 5
Original
2009
Cited alongside, same era.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, NY, USA, 2011)
2011
Cited alongside, same era.
X.-Q. Zhou, T. C. Ralph, P. Kalasuwan, M. Zhang, A. Peruzzo, B. P. Lanyon, and J. L. O’Brien, Adding control to arbitrary unknown quantum operations, Nat. Commun. 2
Original
2011
Cited alongside, same era.
O. Oreshkov, F. Costa, and Č. Brukner, Quantum correlations with no causal order, Nat. Commun. 3

Then

A. Feix, M. Araújo, and Č. Brukner, Quantum superposition of the order of parties as a communication resource, Phys. Rev. A 92
Original
2015
Later among the works it cites.
N. Friis, A. A. Melnikov, G. Kirchmair, and H. J. Briegel, Coherent controlization using superconducting qubits, Sci. Rep. 5
Original
2015
Later among the works it cites.
V. Dunjko, N. Friis, and H. J. Briegel, Quantum-enhanced deliberation of learning agents using trapped ions, New J. Phys. 17
Original
2015
Later among the works it cites.
T. M. Rambo, J. B. Altepeter, P. Kumar, and G. M. D’Ariano, Functional quantum computing: An optical approach, Phys. Rev. A 93
Original
2016
Later among the works it cites.
O. Oreshkov and C. Giarmatzi, Causal and causally separable processes, New J. Phys. 18

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

G. Chiribella, Perfect discrimination of no-signalling channels via quantum superposition of causal structures, Phys. Rev. A 86

Original

2012

Cited alongside, same era.

T. Colnaghi, G. M. D’Ariano, S. Facchini, and P. Perinotti, Quantum computation with programmable connections between gates, Phys. Lett. A 376

Original

2012

Cited alongside, same era.

J. C. A. Barata and M. S. Hussein, The Moore–Penrose pseudoinverse: A tutorial review of the theory, Braz. J. Phys. 42

Original

2012

Cited alongside, same era.

G. Chiribella, G. M. D’Ariano, P. Perinotti, and B. Valiron, Quantum computations without definite causal structure, Phys. Rev. A 88

Original

2013

Cited alongside, same era.

M. M. Wilde, Quantum Information Theory (Cambridge University Press, 2013) arXiv:1106.1445 [quant-ph]

Original

2013

Cited alongside, same era.

X.-Q. Zhou, P. Kalasuwan, T. C. Ralph, and J. L. O’Brien, Calculating unknown eigenvalues with a quantum algorithm, Nat. Photonics 7

Original

2013

Cited alongside, same era.

S. J. Devitt, W. J. Munro, and K. Nemoto, Quantum error correction for beginners, Rep. Prog. Phys. 76

Original

2013

Cited alongside, same era.

Original

2016

Later among the works it cites.

P. A. Guérin, A. Feix, M. Araújo, and Č. Brukner, Exponential communication complexity advantage from quantum superposition of the direction of communication, Phys. Rev. Lett. 117

Original

2016

Later among the works it cites.

A. Bisio, M. Dall’Arno, and P. Perinotti, Quantum conditional operations, Phys. Rev. A 94

Original

2016

Later among the works it cites.

D. Ebler, S. Salek, and G. Chiribella, Enhanced communication with the assistance of indefinite causal order, Phys. Rev. Lett. 120

Original

2018

Closest in time.

J. Thompson, K. Modi, V. Vedral, and M. Gu, Quantum plug n’ play: modular computation in the quantum regime, New J. Phys. 20

Original

2018

Closest in time.

J. Watrous, The Theory of Quantum Information (Cambridge University Press, Cambridge, 2018)

2018

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S. Salek, D. Ebler, and G. Chiribella, Quantum communication in a superposition of causal orders (2018), arXiv:1809.06655 [quant-ph]

Original

2018

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G. Chiribella, M. Banik, S. S. Bhattacharya, T. Guha, M. Alimuddin, A. Roy, S. Saha, S. Agrawal, and G. Kar, Indefinite causal order enables perfect quantum communication with zero capacity channel (2018), arXiv:1810.10457 [quant-ph]

Original

2018

Closest in time.

J. Wechs, A. A. Abbott, and C. Branciard, On the definition and characterisation of multipartite causal (non)separability, New J. Phys. 21

Original

2019

Closest in time.

K. Wei, N. Tischler, S.-R. Zhao, Y.-H. Li, J. M. Arrazola, Y. Liu, W. Zhang, H. Li, L. You, Z. Wang, Y.-A. Chen, B. C. Sanders, Q. Zhang, G. J. Pryde, F. Xu, and J.-W. Pan, Experimental quantum switching for exponentially superior quantum communication complexity, Phys. Rev. Lett. 122

Original

2019

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O. Oreshkov, Time-delocalized quantum subsystems and operations: on the existence of processes with indefinite causal structure in quantum mechanics, Quantum 3

Original

2019

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P. A. Guérin, G. Rubino, and Č. Brukner, Communication through quantum-controlled noise, Phys. Rev. A 99

Original

2019

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G. Chiribella and H. Kristjánsson, Quantum Shannon theory with superpositions of trajectories, Proc. R. Soc. A 475

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2019

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Y. Guo, X.-M. Hu, Z.-B. Hou, H. Cao, J.-M. Cui, B.-H. Liu, Y.-F. Huang, C.-F. Li, G.-C. Guo, and G. Chiribella, Experimental transmission of quantum information using a superposition of causal orders, Phys. Rev. Lett. 124

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2020

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