Deterministic and probabilistic entanglement swapping of nonmaximally entangled states assisted by optimal quantum state discrimination

Solís-Prosser, M. A.; Delgado, A.; Jiménez, Omar; Neves, Leonardo

doi:10.1103/physreva.89.012337

Cited by 15 publications

(12 citation statements)

References 66 publications

(142 reference statements)

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“…In UD, the discrimination of non-orthogonal states is carried out without error, but we must introduce an inconclusive result [ 39 ]. These schemes of discrimination are required to implement quantum teleportation [ 40 , 41 ], entanglement swapping [ 42 , 43 ], quantum cryptography [ 44 ], dense coding [ 45 ], and entanglement concentration [ 46 ]. Some of the experimental realizations by these methods can be found in [ 12 , 47 , 48 , 49 ] for ME and in [ 50 , 51 ] for UD.…”

Section: Introductionmentioning

confidence: 99%

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Jiménez

Solís-Prosser

Neves

et al. 2021

Entropy

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We studied the mutual information and quantum discord that Alice and Bob share when Bob implements a discrimination with a fixed rate of inconclusive outcomes (FRIO) onto two pure non-orthogonal quantum states, generated with arbitrary a priori probabilities. FRIO discrimination interpolates between minimum error (ME) and unambiguous state discrimination (UD). ME and UD are well known discrimination protocols with several applications in quantum information theory. FRIO discrimination provides a more general framework where the discrimination process together with its applications can be studied. In this setting, we compared the performance of optimum probability of discrimination, mutual information, and quantum discord. We found that the accessible information is obtained when Bob implements the ME strategy. The most (least) efficient discrimination scheme is ME (UD), from the point of view of correlations that are lost in the initial state and remain in the final state, after Bob’s measurement.

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Section: Introductionmentioning

confidence: 99%

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Jiménez

Solís-Prosser

Neves

et al. 2021

Entropy

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“…tection theory [7,[12][13][14][15][16][17], but in practice it became viable only recently with the development of experimental techniques for preparation, manipulation, and measurement of high-dimensional quantum systems. In addition to its fundamental interest, recent studies show that this concatenation provides significant improvements in probabilistic realizations of protocols like teleportation [18], entanglement swapping [19], and dense coding [20]; it will also have impact on high-dimensional quantum cryptography [20].…”

Section: Alicementioning

confidence: 99%

Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies

Solís-Prosser,

Jiménez,

Delgado

et al. 2021

Preprint

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The impossibility of deterministic and error-free discrimination among nonorthogonal quantum states lies at the core of quantum theory and constitutes a primitive for secure quantum communication. Demanding determinism leads to errors, while demanding certainty leads to some inconclusiveness. One of the most fundamental strategies developed for this task is the optimal unambiguous measurement. It encompasses conclusive results, which allow for error-free state retrodictions with the maximum success probability, and inconclusive results, which are discarded for not allowing perfect identifications. Interestingly, in high-dimensional Hilbert spaces the inconclusive results may contain valuable information about the input states. Here, we theoretically describe and experimentally demonstrate the discrimination of nonorthogonal states from both conclusive and inconclusive results in the optimal unambiguous strategy, by concatenating a minimum-error measurement at its inconclusive space. Our implementation comprises 4-and 9-dimensional spatially encoded photonic states. By accessing the inconclusive space to retrieve the information that is wasted in the conventional protocol, we achieve significant increases of up to a factor of 2.07 and 3.73, respectively, in the overall probabilities of correct retrodictions. The concept of concatenated optimal measurements demonstrated here can be extended to other strategies and will enable one to explore the full potential of high-dimensional nonorthogonal states for quantum communication with larger alphabets.

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“…Throughout the development of quantum information theory, the studies of protocols concerning discrimination of non-orthogonal quantum states have shown their close relationship with others such as quantum key distribution (QKD) [17], entanglement concentration [18][19][20][21], quantum cloning [22,23], teleportation [24][25][26], entanglement swapping [27,28], superdense coding [29], and some quantum algorithms [30]. Thus, our experimental implementation of a SUSD can be seen as a step towards single-photon multi-party experimental quantum information processing.…”

Section: Introductionmentioning

confidence: 98%

Experimental multiparty sequential state discrimination

Solís-Prosser¹,

González²,

Fuenzalida³

et al. 2016

Phys. Rev. A

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Recently, a protocol for quantum state discrimination (QSD) in a multi-party scenario has been introduced [Phys. Rev. Lett. 111, 100501 (2013)]. In this protocol, Alice generates a quantum system in one of two pre-defined non-orthogonal qubit states, and the goal is to send the generated state information to different parties without classical communication exchanged between them during the protocol's session. The interesting feature is that, by resorting to sequential generalized measurements onto this single system, there is a non-vanishing probability that all observers identify the state prepared by Alice. Here, we present the experimental implementation of this protocol based on polarization single-photon states. Our scheme works over an optical network, and since QSD lies in the core of many protocols, it represents a step towards experimental multi-party quantum information processing.

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Deterministic and probabilistic entanglement swapping of nonmaximally entangled states assisted by optimal quantum state discrimination

Cited by 15 publications

References 66 publications

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes

Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies

Experimental multiparty sequential state discrimination

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