Composition of Multipartite Quantum Systems: Perspective from Timelike Paradigm

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

doi:10.1103/physrevlett.128.140401

Cited by 8 publications

(8 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We will now proceed to show that the system S AB SEP can yield stronger that quantum correlation in the timelike domain. We will establish this with the help of a communication game introduced in [24] which we briefly recall below.…”

Section: Resultsmentioning

confidence: 99%

“…The measurement M {Φ + 000 ,Φ − 000 } ≡ {E odd , E even } is given by, Therefore, the measurement M {Φ + 000 ,Φ − 000 } perfectly distinguishes the states Φ − 000 and Φ + 000 . As we show in Table II, any pair of states in $ [24] can be distinguished perfectly by such a measurement. This completes the proof.…”

Section: Theorem 3 the Information Dimension Of The Systemmentioning

confidence: 85%

“…The proof is constructive and similar to the proof of Theorem 1. Consider the set of following 24 states $ [24]…”

Section: Theorem 3 the Information Dimension Of The Systemmentioning

confidence: 99%

“…We aim to show that the states in $ [24] are pairwise distinguishable by fully separable measurements of the form…”

Section: Theorem 3 the Information Dimension Of The Systemmentioning

confidence: 99%

“…Although this quantum input scenario disallows all the compositions having beyond entangled states it requires trustworthy verifiers in producing some predetermined unentangled quantum inputs [22]. In a completely different approach, recently the authors in [24] have shown that the bipartite minimal composition can yield stronger than quantum correlation if timelike scenario is considered. More particularly, it has been shown that a communication game played between two timelike separated players -a sender, and a receiver at the sender's causal future -cannot be won perfectly by communicating two elementary quantum systems (qubits) if the composite state space is considered to be the standard quantum one, whereas the game becomes perfectly winnable if the composition is assumed to be the minimal one.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Timelike correlations and quantum tensor product structure

Sen¹,

Lobo²,

Patra³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

The state space structure for a composite quantum system is postulated among several mathematically consistent possibilities that are compatible with local quantum description. For instance, unentangled Gleason's theorem allows a state space that includes density operators as a proper subset among all possible composite states. However, bipartite correlations obtained in Bell type experiments from this broader state space are in-fact quantum simulable, and hence such spacelike correlations are no good to make distinction among different compositions. In this work we analyze communication utilities of these different composite models and show that they can lead to distinct utilities in a simple communication game involving two players. Our analysis, thus, establishes that beyond quantum composite structure can lead to beyond quantum correlations in timelike scenario and hence welcomes new principles to isolate the quantum correlations from the beyond quantum ones. We also prove a no-go that the classical information carrying capacity of different such compositions cannot be more than the corresponding quantum composite systems.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Theorem 3 the Information Dimension Of The Systemmentioning

confidence: 85%

“…The proof is constructive and similar to the proof of Theorem 1. Consider the set of following 24 states $ [24]…”

Section: Theorem 3 the Information Dimension Of The Systemmentioning

confidence: 99%

“…We aim to show that the states in $ [24] are pairwise distinguishable by fully separable measurements of the form…”

Section: Theorem 3 the Information Dimension Of The Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Timelike correlations and quantum tensor product structure

Sen¹,

Lobo²,

Patra³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Derivation of standard quantum theory via state discrimination

Arai,

Hayashi

2024

New J. Phys.

View full text Add to dashboard Cite

It is a key issue to characterize the model of standard quantum theory out of general models by an operational condition. The framework of General Probabilistic Theories (GPTs) is a new information theoretical approach to single out standard quantum theory. It is known that traditional properties, for example, Bell-CHSH inequality, are not sufficient to single out standard quantum theory among possible models in GPTs. As a more precise property, we focus on the bound of the performance for an information task called state discrimination in general models. We give an equivalent condition for outperforming the minimum discrimination error probability under the standard quantum theory given by the trace norm. Besides, by applying the equivalent condition, we characterize standard quantum theory out of general models in GPTs by the bound of the performance for state discrimination.

show abstract