Simulation of partial entanglement with nonsignaling resources

Abstract

With the goal of gaining a deeper understanding of quantum non-locality, we decompose quantum correlations into more elementary non-local correlations. We show that the correlations of all pure entangled states of two qubits can be simulated without communication, hence using only non-signaling resources. Our simulation model works in two steps. First, we decompose the quantum correlations into a local and a non-local part. Second, we present a model for simulating the nonlocal part using only non-signaling resources. In our model partially entangled states require more nonlocal resources than maximally entangled states, but the less the state is entangled, the less frequently must the nonlocal resources be used.

6 pages, 2 figures

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Cited by in corpus (17)

• Bell nonlocality
• Non-locality and Communication Complexity
• No extension of quantum theory can have improved predictive power
• Observation of tunable Popescu-Rohrlich correlations through post-selection of a gaussian state
• The communication complexity of non-signaling distributions
• Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol
• The local content of all pure two-qubit states
• Quantum Correlations and Quantum Non-locality: a review and a few new ideas
• Understanding the interplay of entanglement and nonlocality: motivating and developing a new branch of entanglement theory
• Determination of hidden variable models reproducing the spin-singlet
• The local content of bipartite qubit correlations
• Simulation of equatorial von Neumann measurements on GHZ states using nonlocal resources
• Neural Network Approach to the Simulation of Entangled States with One Bit of Communication
• Local simulation of singlet statistics for restricted set of measurement
• Are quantum correlations genuinely quantum?
• Beating one bit of communication with quantum correlations in smaller dimensions
• Local and Nonlocal Contents in N-qubit generalized GHZ states