Local quantum state marking

Sen, Samrat; Lobo, Edwin Peter; Naik, Sahil Gopalkrishna; Patra, Ram Krishna; Gupta, Tathagata; Ghosh, Subhendu B.; Saha, Sutapa; Alimuddin, Mir; Guha, Tamal; Bhattacharya, Some Sankar; Banik, Manik

doi:10.1103/physreva.105.032407

Cited by 4 publications

(4 citation statements)

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“…In this paper, we generalize the result in [25] as follows. Any four ququad-ququad maximally entangled states can be locally marked with certainty.…”

Section: Introductionmentioning

confidence: 75%

“…Alice and Bob cannot distinguish the remaining three orthogonal Bell states in each of the sets C 3 and C ′ 3 . To reveal the advantage of quantum local state marking over quantum state discrimination in quantum secret communication [25], let three parties-Alice, Bob, and Charlie-be spatially separated. To send a secret message to Alice and Bob, Charlie prepares an ensemble of N orthogonal bipartite states that are not locally indistinguishable.…”

Section: Discussionmentioning

confidence: 99%

“…Later a set of six ququad-ququad states is explored, where any four 4 ⊗ 4 maximally entangled states in the set are locally indistinguishable [24]. Very recently, an alternative QSD scheme termed local quantum state marking (LQSM) is proposed [25]. Unlike LSD with only a quantum system, in LQSM, there are N states of the given quantum systems and N possible target states are given.…”

Section: Introductionmentioning

confidence: 99%

“…The task of LQSM is to correctly certify the one-to-one correspondence between the given quantum systems and the target states with certainty. In the N = 4 case [25], a specific set of four 4 ⊗ 4 maximally entangled states that are locally indistinguishable can be correctly marked by a sequence of LOCC.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Any four orthogonal ququad–ququad maximally entangled states are locally markable

Hsu

2023

New J. Phys.

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In quantum state discrimination, the observers are given a quantum system and aim to verify its state from the two or more possible target states. In the local quantum state marking as an extension of quantum state discrimination, there are N composite quantum systems and N possible orthogonal target quantum states. Distant Alice and Bob are asked to correctly mark the states of the given quantum systems via local operations and classical communication. Here we investigate the local state marking with N 4⊗4 systems, N=4, 5, 6, and 7. Therein, Alice and Bob allow for three local operations: measuring the local observable either σz or σx simultaneously, and entanglement swapping. It shows that, given arbitrary four 4⊗4 systems, Alice and Bob can perform the perfect local quantum state marking. In the N=5, 6 cases, they can perform perfect local state marking with specific target states. We conjecture the impossibility of the local quantum state marking given any seven target states since Alice and Bob cannot fulfill the task in the simplest case.

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“…In this paper, we generalize the result in [25] as follows. Any four ququad-ququad maximally entangled states can be locally marked with certainty.…”

Section: Introductionmentioning

confidence: 75%

Section: Discussionmentioning

confidence: 99%