Classical simulation of entanglement swapping with bounded communication

Abstract

Entanglement appears under two different forms in quantum theory, namely as a property of states of joint systems and as a property of measurement eigenstates in joint measurements. By combining these two aspects of entanglement, it is possible to generate nonlocality between particles that never interacted, using the protocol of entanglement swapping. We show that even in the more constraining bilocal scenario where distant sources of particles are assumed to be independent, i.e. to share no prior randomness, this process can be simulated classically with bounded communication, using only 9 bits in total. Our result thus provides an upper bound on the nonlocality of the process of entanglement swapping.

6 pages, 1 figure

References in corpus (24)

• Device-independent security of quantum cryptography against collective attacks
• Random Numbers Certified by Bell's Theorem
• No Signalling and Quantum Key Distribution
• Non-locality and Communication Complexity
• The Communication Cost of Simulating Bell Correlations
• Private Randomness Expansion With Untrusted Devices
• Testing spooky action at a distance
• Entangling Independent Photons by Time Measurement
• Characterizing the nonlocal correlations of particles that never interacted
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• The cost of exactly simulating quantum entanglement with classical communication
• A local hidden variable model of quantum correlation exploiting the detection loophole
• High-fidelity entanglement swapping with fully independent sources
• Classical simulation of quantum entanglement without local hidden variables
• Towards Quantifying Non-Local Information Transfer: Finite-Bit Non-Locality
• Violations of Bell inequalities as lower bounds on the communication cost of non-local correlations
• Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol
• Modeling Pauli measurements on graph states with nearest-neighbor classical communication
• Simulation of bipartite qudit correlations
• Optimal classical-communication-assisted local model of n-qubit Greenberger-Horne-Zeilinger correlations
• Lower bound on the communication cost of simulating bipartite quantum correlations
• Simulation of equatorial von Neumann measurements on GHZ states using nonlocal resources
• Quantum Relative States
• Entanglement-swapping boxes and their communication properties

Cited by in corpus (18)

• Bell nonlocality
• Bell nonlocality in networks
• Nonlinear Bell inequalities tailored for quantum networks
• Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
• All entangled pure quantum states violate the bilocality inequality
• Entanglement analysis of two-atom nonlinear JCM with nondegenerate two-photon transition, Kerr nonlinearity and two-mode Stark shift
• Correlations of entangled quantum states cannot be classically simulated
• Sharing nonlocality in quantum network by unbounded sequential observers
• Classical Cost of Transmitting a Qubit
• Nontrilocality: Exploiting nonlocality from three particle systems
• Hierarchical certification of nonclassical network correlations
• Non-signaling Causal Hierarchy of General Multisource Networks
• Revealing Quantum Advantage in a Quantum Network
• Limits of network nonlocality probed by time-like separated observers
• The minimal communication cost for simulating entangled qubits
• Sharing nonlocality in a network using the quantum violation of chain network inequality
• Exploring Bell nonlocality of quantum networks with stabilizing and logical operators
• Simulation of Quantum Correlation Functions is not Sufficient Resource to Describe Quantum Entanglement