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2021

Quantum circuits with classical versus quantum control of causal order

Wechs, Julian, Dourdent, Hippolyte, Abbott, Alastair A. et al.

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Quantum supermaps are transformations that map quantum operations to quantum operations.

It is known that quantum supermaps which respect a definite, predefined causal order between their input operations correspond to fixed-order quantum circuits.
A systematic understanding of the physical interpretation of more general types of quantum supermaps--in particular, those incompatible with a definite causal structure--is however lacking.
Here we identify two new types of circuits that naturally generalise the fixed-order case and that likewise correspond to distinct classes of quantum supermaps, which we fully characterise.

Quantum circuits with classical versus quantum control of causal order · Around

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C. Mukhopadhyay and A. K. Pati, J. Phys. Commun. 4
Original
1901
Earlier work this paper cites.
L. M. Procopio, F. Delgado, M. Enríquez, N. Belabas, and J. A. Levenson, Entropy 21
Original
1902
Earlier work this paper cites.
M. M. Taddei, R. V. Nery, and L. Aolita, Phys. Rev. Research 1
Original
1903
Earlier work this paper cites.
N. Paunković and M. Vojinović, Quantum 4
Original
1905
Earlier work this paper cites.
N. Loizeau and A. Grinbaum, Phys. Rev. A 101
Original
1906
Earlier work this paper cites.
M. Caleffi and A. S. Cacciapuoti, IEEE J. Sel. Areas Commun 38
Original
1907
Earlier work this paper cites.
M. K. Gupta and U. Sen, (2019), arXiv:1909.13125 [quant-ph]
Original
1909
Earlier work this paper cites.
M. T. Quintino, Q. Dong, A. Shimbo, A. Soeda, and M. Murao, Phys. Rev. A 100
Original
1909
Earlier work this paper cites.
L. M. Procopio, F. Delgado, M. Enríquez, N. Belabas, and J. A. Levenson, Phys. Rev. A 101
Original
1910
Earlier work this paper cites.
H. Kristjánsson, G. Chiribella, S. Salek, D. Ebler, and M. Wilson, New J. Phys. 22
Original
1910
Earlier work this paper cites.
X. Zhao, Y. Yang, and G. Chiribella, Phys. Rev. Lett. 124
Original
1912
Earlier work this paper cites.
W. F. Stinespring, Proc. Amer. Math. Soc. 6
1955
Earlier work this paper cites.
E. B. Davies and J. T. Lewis, Commun. Math. Phys. 17
1970
Earlier work this paper cites.
M.-D. Choi, Linear Algebra Appl. 10
1975
Earlier work this paper cites.
M. M. Taddei, J. Cariñe, D. Martínez, T. García, N. Guerrero, A. A. Abbott, M. Araújo, C. Branciard, E. S. Gómez, S. P. Walborn, L. Aolita, and G. Lima, PRX Quantum 2
Original
2002
Earlier work this paper cites.
J. Barrett, R. Lorenz, and O. Oreshkov, Nat. Commun. 12
Original
2002
Earlier work this paper cites.
D. Felce and V. Vedral, Phys. Rev. Lett. 125
Original
2003
Earlier work this paper cites.
T. Guha, M. Alimuddin, and P. Parashar, Phys. Rev. A 102
Original
2003
Earlier work this paper cites.
W. Yokojima, M. T. Quintino, A. Soeda, and M. Murao, Quantum 5
Original
2003
Earlier work this paper cites.
D. K. L. Oi, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
M. Wilson and G. Chiribella, (2020), arXiv:2003.08224 [quant-ph]
Original
2003
Earlier work this paper cites.
N. Pinzani and S. Gogioso, (2020), arXiv:2003.13306 [quant-ph]
Original
2003
Earlier work this paper cites.
S. Sazim, M. Sedlak, K. Singh, and A. K. Pati, Phys. Rev. A 103
Original
2004
Earlier work this paper cites.
L. Hardy, (2005), arXiv:gr-qc/0509120
2005
Earlier work this paper cites.
M. Wilson, H.-F. Chau, and G. Chiribella, (2020), arXiv:2005.00618 [quant-ph]
Original
2005
Earlier work this paper cites.
D. Kretschmann and R. F. Werner, Phys. Rev. A 72
2005
Earlier work this paper cites.

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