Simulation of bipartite qudit correlations

Abstract

We present a protocol to simulate the quantum correlations of an arbitrary bipartite state, when the parties perform a measurement according to two traceless binary observables. We show that $\log (d)$ bits of classical communication is enough on average, where $d$ is the dimension of both systems. To obtain this result, we use the sampling approach for simulating the quantum correlations. We discuss how to use this method in the case of qudits.

7 pages

References in corpus (10)

• The Communication Cost of Simulating Bell Correlations
• The cost of exactly simulating quantum entanglement with classical communication
• Grothendieck's constant and local models for noisy entangled quantum states
• Quantum entanglement can be simulated without communication
• A local hidden variable model of quantum correlation exploiting the detection loophole
• Simulating quantum correlations as a distributed sampling problem
• Classical simulation of quantum entanglement without local hidden variables
• Classical Teleportation of a Quantum Bit
• Towards Quantifying Non-Local Information Transfer: Finite-Bit Non-Locality
• New loophole for the EPR paradox

Cited by in corpus (15)

• Non-locality and Communication Complexity
• Classical simulation of entanglement swapping with bounded communication
• The communication complexity of non-signaling distributions
• On the local and non-local content of bipartite qubit and qutrit correlations
• Non-classicality of temporal correlations
• Classical Cost of Transmitting a Qubit
• Simulating Quantum Correlations with Finite Communication
• Local simulation of singlet statistics for restricted set of measurement
• Neural Network Approach to the Simulation of Entangled States with One Bit of Communication
• The minimal communication cost for simulating entangled qubits
• Non-Local Box Complexity and Secure Function Evaluation
• Beating one bit of communication with quantum correlations in smaller dimensions
• Classical simulation of two spin-$S$ singlet state correlations involving spin measurements
• Investigation of quantum entanglement simulation by random variables theories augmented by either classical communication or nonlocal effects
• Simulation of Quantum Correlation Functions is not Sufficient Resource to Describe Quantum Entanglement