Unitary channel discrimination beyond group structures: Advantages of sequential and indefinite-causal-order strategies

I. Schur, “ Über eine Klasse von Matrizen, die sich einer gegebenen Matrix zuordnen lassen ,” Ph.D. Thesis, Friedrich-Wilhelms-UniversitÀt zu Berlin (1901)

1901

Earlier work this paper cites.

J. Bavaresco, M. Araújo, Č. Brukner, and M. T. Quintino, “Semi-device-independent certification of indefinite causal order,” Quantum 3

Original

1903

Earlier work this paper cites.

M. T. Quintino, Q. Dong, A. Shimbo, A. Soeda, and M. Murao, “Probabilistic exact universal quantum circuits for transforming unitary operations,” Phys. Rev. A 100

Original

1909

Earlier work this paper cites.

C. W. Helstrom, “Quantum detection and estimation theory,” J. Stat. Phys. 1

1969

Earlier work this paper cites.

R. Blahut, “Hypothesis testing and information theory,” IEEE Transac. on Inf. Theory 20

1974

Earlier work this paper cites.

D. Deutsch and R. Jozsa, “Rapid solution of problems by quantum computation,” Proc. of the Royal Society of London: Math. and Phys. Sciences 439

1992

Earlier work this paper cites.

D. R. Simon, “On the power of quantum computation,” Proc. of Symp. on Found. of Comp. Science , 116–123 (1994)

1994

Earlier work this paper cites.

L. K. Grover, “A framework for fast quantum mechanical algorithms,” STOC ’98: Proceedings of the thirtieth annual ACM symposium on Theory of computing , 53–62 (1998) , arXiv:quant-ph/9711043

1998

Earlier work this paper cites.

R. S. Nickerson, “Null hypothesis significance testing: a review of an old and continuing controversy,” Psych. Methods 5

2000

Earlier work this paper cites.

A. Acín, “Statistical distinguishability between unitary operations,” Phys. Rev. Lett. 87

2001

Earlier work this paper cites.

G. M. D’Ariano, P. Lo Presti, and M. G. A. Paris, “Using entanglement improves the precision of quantum measurements,” Phys. Rev. Lett. 87

2001

Earlier work this paper cites.

J. Barrett, R. Lorenz, and O. Oreshkov, “Cyclic Quantum Causal Models,” Nat. Commun. 12

Original

2002

Earlier work this paper cites.

W. Yokojima, M. T. Quintino, A. Soeda, and M. Murao, “Consequences of preserving reversibility in quantum superchannels,” Quantum 5

Original

2003

Earlier work this paper cites.

S. L. K. Pond, S. D. W. Frost, and S. V. Muse, “HyPhy: Hypothesis testing using phylogenies,” Bioinformatics 21

2004

Earlier work this paper cites.

G. Chiribella, G. M. D’Ariano, P. Perinotti, and M. F. Sacchi, “Efficient Use of Quantum Resources for the Transmission of a Reference Frame,” Phys. Rev. Lett. 93

2004

Earlier work this paper cites.

G. Chiribella, G. M. D’Ariano, P. Perinotti, and M. F. Sacchi, “Covariant quantum measurements that maximize the likelihood,” Phys. Rev. A 70

2004

Earlier work this paper cites.

J. von Korff and J. Kempe, “Quantum advantage in transmitting a permutation,” Phys. Rev. Lett. 93

2004

Earlier work this paper cites.

D. Kretschmann and R. F. Werner, “Quantum channels with memory,” Phys. Rev. A 72

2005

Earlier work this paper cites.

A. Hayashi, T. Hashimoto, and M. Horibe, “Extended quantum color coding,” Phys. Rev. A 71

2005

Earlier work this paper cites.

V. Giovannetti, S. Lloyd, and L. Maccone, “Quantum Metrology,” Phys. Rev. Lett. 96

2006

Cited alongside, same era.

M. Hayashi, “Quantum Hypothesis Testing and Discrimination of Quantum States”, in Quantum Information (Springer, Berlin, Heidelberg, 2006) pp. 69–91

2006

Cited alongside, same era.

G. Chiribella, G. M. D’Ariano, P. Perinotti, and M. F. Sacchi, “Maximum likelihood estimation for a group of physical transformations,” Int. J. Quantum Inf. 4

2006

Cited alongside, same era.

S. D. Bartlett, T. Rudolph, and R. W. Spekkens, “Reference frames, superselection rules, and quantum information,” Rev. of Modern Phys. 79

2007

Cited alongside, same era.

A. Chefles, A. Kitagawa, M. Takeoka, M. Sasaki, and J. Twamley, “Unambiguous discrimination among oracle operators,” J. Phys. A: Math. General 40

2007

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

Later among the works it cites.

J. Pearl, “Probabilistic reasoning in intelligent systems: networks of plausible inference,” (Elsevier, 2014)

2014

Later among the works it cites.

M. Araújo, F. Costa, and Č. Brukner, “Computational advantage from quantum-controlled ordering of gates,” Phys. Rev. Lett. 113

Original

2014

Later among the works it cites.

A. Bisio, G. M. D’Ariano, P. Perinotti, and M. Sedlák, “Optimal processing of reversible quantum channels,” Phys. Lett. A 378

Original

2014

Later among the works it cites.

M. Araújo, C. Branciard, F. Costa, A. Feix, C. Giarmatzi, and Č. Brukner, “Witnessing causal nonseparability,” New J. Phys. 17