Experimental quantum state discrimination using the optimal fixed rate of inconclusive outcomes strategy

Gómez, Santiago; Gómez, Esteban S.; Jiménez, Omar; Delgado, A.; Walborn, S. P.; Lima, G.

doi:10.1038/s41598-022-22314-w

Cited by 7 publications

(2 citation statements)

References 69 publications

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“…While a number of contextuality witnesses exist in the literature [22][23][24][25][26][27], here we benefit from the simplicity of prepare-and-measure scenarios with two preparations and a single measurement. Such scenarios are of wide importance for both fundamental studies of quantum mechanics and applications in quantum technology including sensing, communication, and randomness generation [28][29][30]. We then find a contextuality witness in this framework, which is inspired by optimal two-state discrimination.…”

Section: Introductionmentioning

confidence: 99%

Contextuality witness inspired by optimal state discrimination

Roch i Carceller,

Brask

2024

Phys. Rev. A

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Many protocols and tasks in quantum information science rely inherently on the fundamental notion of contextuality to provide advantages over their classical counterparts, and contextuality represents one of the main differences between quantum and classical physics. In this work we present a witness for preparation contextuality inspired by optimal two-state discrimination. The main idea is based on finding the accessible averaged success and error probabilities in both classical and quantum models. We can then construct a noncontextuality inequality and associated witness which we find to be robust against depolarising noise and loss in the form of inconclusive events.

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Section: Introductionmentioning

confidence: 99%

Contextuality witness inspired by optimal state discrimination

Roch i Carceller,

Brask

2024

Phys. Rev. A

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“…This leads to several discrimination strategies such as minimum-error discrimination 16 – 18 , pretty-good measurement 19 , 20 , unambiguous discrimination 21 – 24 , maximum-confidence discrimination 25 , 26 , and fixed-rate of inconclusive result 27 , 28 . Various discrimination strategies have already been experimentally demonstrated 29 – 37 .…”

Section: Introductionmentioning

confidence: 99%

Training a quantum measurement device to discriminate unknown non-orthogonal quantum states

Concha

Pereira

Zambrano

et al. 2023

Sci Rep

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Here, we study the problem of decoding information transmitted through unknown quantum states. We assume that Alice encodes an alphabet into a set of orthogonal quantum states, which are then transmitted to Bob. However, the quantum channel that mediates the transmission maps the orthogonal states into non-orthogonal states, possibly mixed. If an accurate model of the channel is unavailable, then the states received by Bob are unknown. In order to decode the transmitted information we propose to train a measurement device to achieve the smallest possible error in the discrimination process. This is achieved by supplementing the quantum channel with a classical one, which allows the transmission of information required for the training, and resorting to a noise-tolerant optimization algorithm. We demonstrate the training method in the case of minimum-error discrimination strategy and show that it achieves error probabilities very close to the optimal one. In particular, in the case of two unknown pure states, our proposal approaches the Helstrom bound. A similar result holds for a larger number of states in higher dimensions. We also show that a reduction of the search space, which is used in the training process, leads to a considerable reduction in the required resources. Finally, we apply our proposal to the case of the phase flip channel reaching an accurate value of the optimal error probability.

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