Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol

Abstract

The simulation of quantum correlations with alternative nonlocal resources, such as classical communication, gives a natural way to quantify their nonlocality. While multipartite nonlocal correlations appear to be useful resources, very little is known on how to simulate multipartite quantum correlations. We present the first known protocol that reproduces 3-partite GHZ correlations with bounded communication: 3 bits in total turn out to be sufficient to simulate all equatorial Von Neumann measurements on the 3-partite GHZ state.

7 pages, 1 figure

References in corpus (13)

• Device-independent security of quantum cryptography against collective attacks
• Random Numbers Certified by Bell's Theorem
• No Signalling and Quantum Key Distribution
• Non-local correlations as an information theoretic resource
• Device-independent quantum key distribution secure against collective attacks
• The Communication Cost of Simulating Bell Correlations
• Private Randomness Expansion With Untrusted Devices
• The cost of exactly simulating quantum entanglement with classical communication
• Popescu-Rohrlich correlations as a unit of nonlocality
• A local hidden variable model of quantum correlation exploiting the detection loophole
• Towards Quantifying Non-Local Information Transfer: Finite-Bit Non-Locality
• Simulation of partial entanglement with nonsignaling resources
• Simulation of equatorial von Neumann measurements on GHZ states using nonlocal resources

Cited by in corpus (33)

• Bell nonlocality
• Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
• Quantification of Einstein-Podolski-Rosen steering for two-qubit states
• Dynamics of entropic measurement-induced nonlocality in structured reservoirs
• Classical simulation of entanglement swapping with bounded communication
• There is no anomaly in the nonlocality of two entangled qutrits
• Nonanomalous measure of realism-based nonlocality
• The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements
• Local hidden variable models for entangled quantum states using finite shared randomness
• Quantifying multipartite nonlocality via the size of the resource
• Shareability of Quantum Steering and its Relation with Entanglement
• Bell scenarios with communication
• Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
• Correlations of entangled quantum states cannot be classically simulated
• Unification of quantum resources in tripartite systems
• Tripartite realism-based quantum nonlocality
• Classical Cost of Transmitting a Qubit
• Detecting nonlocality of noisy multipartite states with the CHSH inequality
• Weak quantum discord
• Information-based measure of nonlocality
• Robust Bell inequalities from communication complexity
• On Dimension Bounds for Auxiliary Quantum Systems
• More non-locality in the three-qubit Greenberger-Horne-Zeilinger state
• Remote Sampling with Applications to General Entanglement Simulation
• Exact simulation of the GHZ distribution
• Optimal measurements for nonlocal correlations
• The minimal communication cost for simulating entangled qubits
• Information Causality is a Special Point in the Dual of the Gray-Wyner Region
• Simulating GHZ Correlations Relaxing Physical Constraints
• Pseudo-telepathy games and genuine NS k-way nonlocality using graph states
• Quantum correlation generation capability of experimental processes
• Local deterministic simulation of equatorial Von Neumann measurements on tripartite GHZ state
• Simulating equatorial measurements on GHZ states with finite expected communication cost