Composition of multipartite quantum systems: perspective from time-like paradigm

Naik, Sahil Gopalkrishna; Lobo, Edwin Peter; Sen, Samrat; Patra, Ram Krishna; Alimuddin, Mir; Guha, Tamal; Bhattacharya, Some Sankar; Banik, Manik

doi:10.48550/arxiv.2107.08675

Cited by 2 publications

(3 citation statements)

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“…The quantum advantage in our Restaurant game, therefore, must invoke 'quantum interference' in the form of quantum superposition at encoding as well as at decoding steps. This is fundamentally different from the communication advantage as obtained in [48][49][50][51][52][53][54][55][56][57] within the W-ANTV scenario. There, non-commutative measurements, more specifically measurements that are non jointly measurable, play crucial role in decoding step at receiver's end.…”

Section: The Above Results Proves the Necessity Of Nonorthogonal Enco...contrasting

confidence: 61%

“…Interestingly, in this scenario, communication utility of a qubit (D c -2 resource of Type-2) has been shown to be more than a classical bit (D c -1 resource of Type-2), even in absence of any kind of Type-1 resources [47][48][49]. Subsequently, several variants of this task have been studied leading to interesting foundational implications [50][51][52][53][54][55][56][57]. Furthermore, in this scenario, it has also been shown that a resource of Type-1 can empower the communication utility of a resource of Type-2 [58][59][60][61].…”

Section: B W-antv Scenariomentioning

confidence: 99%

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Classical analogue of quantum superdense coding and communication advantage of a single quantum

Patra¹,

Naik²,

Lobo³

et al. 2022

Preprint

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We analyze the communication utility of a single quantum system when the sender and receiver share neither any entanglement nor any classical shared randomness. To this aim, we propose a class of two-party communication games that cannot be won with a noiseless 1-bit classical channel, whereas the goal can be perfectly achieved if the channel is assisted by classical shared randomness. This resembles an advantage similar to the quantum superdense coding phenomenon where preshared entanglement can enhance communication utility of a perfect quantum communication line. Quite surprisingly, we show that a qubit communication without any assistance of classical shared randomness can achieve the goal, and hence establishes a novel quantum advantage in the simplest communication scenario. In pursuit of a deeper origin of this advantage we show that an advantageous quantum strategy must invoke quantum interference both at the encoding step by the sender and at the decoding step by the receiver. A subclass of these games can be won deterministically if the sender communicates some non-classical toy systems described by symmetric polygonal state spaces. We then proceed to design a variant of the game that can be won neither with 1-bit communication nor with a polygon system, but 1-qubit communication yields a perfect strategy, establishing a strict quantum nature of the advantage. To this end, we show that the quantum advantages are robust against imperfect encodings-decodings, making the protocols implementable with presently available quantum technologies.

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Section: The Above Results Proves the Necessity Of Nonorthogonal Enco...contrasting

confidence: 61%

Section: B W-antv Scenariomentioning

confidence: 99%

Classical analogue of quantum superdense coding and communication advantage of a single quantum

Patra¹,

Naik²,

Lobo³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…It might be provoking to see what additional structures are required there to single out the quantum correlations in quantum-input scenario. On the other hand, within the classical-input-classical-output paradigm the authors in [41] and the present authors with other collaborators in [42] have studied beyond quantum correlations in time-like domain. Similar studies with quantum inputs might also provide new insight there, which is one of the questions present authors are trying to explore further.…”

Section: Theorem 2 For Every Bqs Wmentioning

confidence: 96%

Certifying beyond quantumness of locally quantum no-signalling theories through quantum input Bell test

Lobo¹,

Naik²,

Sen³

et al. 2021

Preprint

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Physical theories with local structure similar to quantum theory can allow beyond-quantum global states that are in agreement with unentangled Gleason's theorem. In a standard Bell experiment any such bipartite state produces correlations that are always quantum simulable. In this limited classical-input-classical-output Bell scenario, we show that there exist bipartite beyond-quantum states that produce correlations all of which are in-fact classically simulable. However, if the type of Bell scenario is generalized to consider quantum states as inputs, we then show that any such bipartite beyond-quantum state yields beyond-quantum input-output correlations. We also analyze the implication of this quantum input scenario while studying generic multipartite correlations obtained from local quantum theory but potentially allowing different global structure. Our study suggests the requirement of type sensitive information principles for isolating the quantum correlations from the beyond-quantum ones.Introduction.-Correlations among distant events established through the violation of Bell type inequalities confirm nonlocal behavior of the physical world [1][2][3][4]. Nonseparable multipartite quantum states yielding such correlations, in Schrödinger's words, are "...the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought" [5]. The advent of quantum information science identifies the power of such nonlocal correlations in numerous device independent protocols -cryptographic key distribution [6], randomness certification [7] and amplification [8], dimension witness [9] are few canonical examples. Cirel'son's result [10], however, establishes that the nonlocal strength of quantum correlations is limited compared to the general no-signaling (NS) ones [11] as depicted in the celebrated Clauser-Horne-Shimony-Holt (CHSH) inequality violation [12].

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Composition of multipartite quantum systems: perspective from time-like paradigm

Cited by 2 publications

References 0 publications

Classical analogue of quantum superdense coding and communication advantage of a single quantum

Classical analogue of quantum superdense coding and communication advantage of a single quantum

Certifying beyond quantumness of locally quantum no-signalling theories through quantum input Bell test

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