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Violation of no-Signaling Constraint by Distinguishing Local Quantum Measurement with Numerous Eight-Particle GHZ States

You-Bang Zhan

Published Apr 1, 2016• 0 citations
OpenAlex

Abstract

The distinction of quantum measurements is one of the fundamentally important problems in quantum information science. In this paper we present a novel protocol for distinguishing local quantum measurement (DLQM) with multi-particle entanglement systems. It is shown that, for two spacelike separated parties, the local discrimination of two different kinds of measurement can be completed via numerous eight-particle GHZ entangled states and selective projective measurements without help of classical information. This means that no-signaling constraint can be violated by the DLQM.

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The distinction of quantum measurements is one of the fundamentally important problems in quantum information science. In this paper we present a novel protocol for distinguishing local quantum measurement (DLQM) with multi-particle entanglement systems. It is shown that, for two spacelike separated parties, the local discrimination of two different kinds of measurement can be completed via numerous eight-particle GHZ entangled states and selective projective measurements without help of classical information. This means that no-signaling constraint can be violated by the DLQM.
The discrimination of quantum measurements is an important subject of quantum information processes. In this paper we present a novel protocol for local quantum measurement discrimination (LQMD) with multi-qubit entanglement systems. It is shown that, for two spacelike separated parties, the local discrimination of two different kinds of measurement can be completed via numerous eight-qubit GHZ entangled states and selective projective measurements without help of classical information. This means that no-signaling constraint can be violated by the LQMD.
The discrimination of quantum measurements is an important subject of quantum information processes. In this paper we present a novel protocol for local quantum measurement discrimination (LQMD) with multi-qubit entanglement systems. It is shown that, for two space-like separated parties, the local discrimination of two different kinds of measurement can be completed via numerous eight-qubit GHZ entangled states and selective projective measurements without help of classical information. This means that no-signaling constraint can be violated by the LQMD.
Abstract The discrimination of quantum measurements is an important aspect of quantum information processes. In this paper we present a novel protocol for local quantum measurement discrimination (LQMD) via selective projective measurements with numerous multi-qubit GHz entangled states. In this protocol, we assume that there is no classical channel between two space-like separated parties (Alice and Bob). To ensure that their operations proceed in an orderly fashion they agree that Alice measures her qubits before a specified time while Bob measures his after this time. Furthermore, a method for comparing measurement results is employed, that is, after Alice’s measurement, Bob does not calculate the reduced density matrix of his system but compares the probability of all his qubits being in states | 0 ⟩ or | 1 ⟩ after measuring his qubits under the basis { | 0 ⟩ , | 1 ⟩ } . It is shown that after this the local discrimination of two different kinds of measurement can be completed via numerous eight-qubit GHz entangled states and selective projective measurements without the help of classical information. This means that that no-signaling constraint can be violated by LQMD.
The discrimination of quantum measurements is an important subject of quantum information processes. In this paper we present a novel protocol for local quantum measurement discrimination with multi-qubit entanglement systems. It is shown that, in the case of Bob did not know Alice's result of measurement, if both two observers (Alice and Bob) agreed in advance that Alice should measure her qubits before an appointed time t, the local discrimination of two different kinds of measurement can be completed via numerous eight-qubit GHZ entangled states and selective projective measurement.
The discrimination of quantum operations is an important subject of quantum information processes. For the local distinction, existing researches pointed out that, since any operation performed on a quantum system must be compatible with no-signaling constraint, local discrimination between quantum operations of two spacelike separated parties cannot be realized. We found that, however, local discrimination of quantum measurements may be not restricted by the no-signaling if more multi-qubit entanglement and selective measurements were employed. In this paper we report that local quantum measurement discrimination (LQMD) can be completed via selective projective measurements and numerous seven-qubit GHZ states without help of classical communication if both two observers agreed in advance that one of them should measure her/his qubits before an appointed time. As an application, it is shown that the teleportation can be completed via the LQMD without classical information. This means that the superluminal communication can be realized by using the LQMD.
We show that a pair of two-qubit product measurements can be perfectly distinguished when accessed jointly, yet cannot be perfectly distinguished when their local components are distributed between distant parties restricted to local quantum operations and classical communication (LOCC). This establishes a measurement analogue of nonlocality without entanglement that, unlike its state-based counterpart, emerges in a remarkably simple setting. We further uncover a hierarchy of LOCC discrimination strategies: adaptive protocols, in which the probe used at one site may depend on classical information obtained from another, can strictly outperform restricted non-adaptive protocols, as demonstrated by a set of six bipartite qutrit product measurements. We also show that LOCC distinguishability of bipartite measurements can be intrinsically directional, depending on which party initiates the protocol. More generally, we construct pairs of nnn-qubit product measurements that are globally perfectly distinguishable but cannot be perfectly distinguished across any bipartition, even when all parties on either side of the bipartition are allowed arbitrary joint quantum operations. Finally, we show how quantum data hiding based on quantum-process nonlocality without entanglement can be realized using elementary optical components.