Optimal entanglement-assisted discrimination of quantum measurements

Miková, Martina; Sedlák, Michal; Straka, Ivo; Mičuda, Michal; Ziman, Märio; Ježek, Miroslav; Dušek, Miloslav; Fiurášek, Jaromı́r

doi:10.1103/physreva.90.022317

Cited by 10 publications

(3 citation statements)

References 45 publications

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“…Using this "measurement-to-state" reduction we provide solution to optimal minimum-error and unambiguous discrimination of projective qubit measurements. Let us note that this procedure was successfully experimentally implemented in quantum optical system [45]. We extent this result to the case of m projective qubit measurements and, in addition, each of them may be affected by different level of white noise.…”

Section: Discussionmentioning

confidence: 83%

Optimal single shot strategies for discrimination of quantum measurements

Sedlak,

Ziman

2014

Preprint

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We study discrimination of m quantum measurements in the scenario when the unknown measurement with n outcomes can be used only once. We show that ancilla-assisted discrimination procedures provide a nontrivial advantage over simple (ancilla-free) schemes for perfect distinguishability and we prove that inevitably m ≤ n. We derive necessary and sufficient conditions of perfect distinguishability of general binary measurements. We show that the optimization of the discrimination of projective qubit measurements and their mixtures with white noise is equivalent to the discrimination of specific quantum states. In particular, the optimal protocol for discrimination of projective qubit measurements with fixed failure rate (exploiting maximally entangled test state) is described. While minimum error discrimination of two projective qubit measurements can be realized without any need of entanglement, we show that discrimination of three projective qubit measurements requires a bipartite probe state. Moreover, when the measurements are not projective, the non-maximally entangled test states can outperform the maximally entangled ones.

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Section: Discussionmentioning

confidence: 83%

Optimal single shot strategies for discrimination of quantum measurements

Sedlak,

Ziman

2014

Preprint

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“…Minimum error discrimination of quantum measurements was studied in single-shot [16] and multiple-shot [17] regimes. Asymmetric discrimination of von Neumann measurements was studied in [18] The advantage of using entangled stated for single-shot discrimination between qubit measurements was experimentally shown in [19]. Application of process POVMs for discrimination of quantum measurements can be found in [20,21] In this work we study discrimination of unknown von Neumann measurements in symmetric and asymmetric scenarios.…”

Section: Introductionmentioning

confidence: 99%

Discrimination and certification of unknown quantum measurements

Krawiec¹,

Pawela²,

Puchała³

2023

Preprint

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We study the discrimination of von Neumann measurement in the scenario when we are given a reference measurement and some other measurement. The aim of the discrimination is to determine whether the other measurement is the same as the first one. We consider the cases when the reference measurement is given without the classical description and when its classical description is known. Both cases are studied in the symmetric and asymmetric discrimination setups. Moreover, we provide optimal certification schemes enabling us to certify a known quantum measurement against the unknown one.

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“…Quantum operations, which include unitary operations, quantum measurements, and quantum channels, are an important subject in the fields of quantum control and quantum information theory 1 2 3 . Recently, the discrimination of quantum operations 4 5 6 7 8 9 , especially the discrimination of unitary operations 10 11 12 13 14 15 16 17 18 19 20 , has received extensive attention. Indeed, the study itself of the distinguishability for unitary operations is a fundamental problem in quantum information theory, and after successfully discriminating unitary operations, we can further employ them to accomplish many other quantum information processing tasks.…”

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confidence: 99%

Minimal number of runs and the sequential scheme for local discrimination between special unitary operations

Cao

Yang

Zhang

et al. 2016

Sci Rep

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It has been shown that any two different multipartite unitary operations are perfectly distinguishable by local operations and classical communication with a finite number of runs. Meanwhile, two open questions were left. One is how to determine the minimal number of runs needed for the local discrimination, and the other is whether a perfect local discrimination can be achieved by merely a sequential scheme. In this paper, we answer the two questions for some unitary operations U1 and U2 with locally unitary equivalent to a diagonal unitary matrix in a product basis. Specifically, we give the minimal number of runs needed for the local discrimination, which is the same with that needed for the global discrimination. In this sense, the local operation works the same with the global one. Moreover, when adding the local property to U1 or U2, we present that the perfect local discrimination can be also realized by merely a sequential scheme with the minimal number of runs. Both results contribute to saving the resources used for the discrimination.

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Optimal entanglement-assisted discrimination of quantum measurements

Cited by 10 publications

References 45 publications

Optimal single shot strategies for discrimination of quantum measurements

Optimal single shot strategies for discrimination of quantum measurements

Discrimination and certification of unknown quantum measurements

Minimal number of runs and the sequential scheme for local discrimination between special unitary operations

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