Entanglement and communication-reducing properties of noisy N-qubit states

Abstract

We consider properties of states of many qubits, which arise after sending certain entangled states via various noisy channels (white noise, coloured noise, local depolarization, dephasing and amplitude damping). Entanglement of these states is studied and their ability to violate certain classes of Bell inequalities. States which violate them allow for higher than classical efficiency of solving related distributed computational tasks with constrained communication. This is a direct property of such states -- not requiring their further modification via stochastic local operations and classical communication such as entanglement purification or distillation procedures. We identify novel families of multi-particle states which are entangled but nevertheless allow local realistic description of specific Bell experiments. For some of them, the "gap" between the critical values for entanglement and violation of Bell inequality remains finite even in the limit of infinitely many qubits.

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References in corpus (5)

• Scaling laws for the decay of multiqubit entanglement
• All bipartite entangled states display some hidden nonlocality
• Noise robustness of the nonlocality of entangled quantum states
• Partial separability and entanglement criteria for multiqubit quantum states
• Scalability of GHZ and random-state entanglement in the presence of decoherence

Cited by in corpus (16)

• Bell nonlocality
• Correlation tensor criteria for genuine multiqubit entanglement
• Generating nonclassical correlations without fully aligning measurements
• Criterion for k-separability in mixed multipartite systems
• Time-invariant entanglement and sudden death of nonlocality for multipartite systems under collective dephasing
• Observers can always generate nonlocal correlations without aligning measurements by covering all their bases
• Multipartite quantum nonlocality under local decoherence
• Decoherence Effects on the Non-locality of Symmetric States
• Nonlocality of $W$ and Dicke states subject to losses
• Simple criteria for noise resistance of two qudit entanglement
• Detecting nonlocality of noisy multipartite states with the CHSH inequality
• Bounding the persistency of the nonlocality of W states
• Reference frames for Bell inequality violation in the presence of superselection rules
• Werner gap in presence of simple coloured noise
• All multipartite entanglements are quantum coherences in locally distinguishable bases
• Experimental Approach to Demonstrating Contextuality for Qudits