Robustness of quantum correlation in quantum energy teleportation
arXiv:2402.00479 · doi:10.1103/PhysRevD.110.096010
Abstract
We present the evolution of quantum correlation in the quantum energy teleportation (QET) protocol using quantum discord, instead of the traditionally used entanglement entropy. In the QET protocol, where local observations and conditional operations are repeated, quantum correlations become nontrivial because of the statistical creation of mixed states. In this paper, we use quantum discord as a measure of quantum correlation in mixed states and investigate its relationship to teleported energy and phase transitions. During the process of Alice and Bob performing QET, one would expect that the entanglement between Alice and Bob is completely broken by Alice's measurement of the quantum state, and thus the quantum correlation disappears. However, contrary to this expectation, it is shown using quantum discord that the quantum correlation does not disappear during the entire process of QET. To demonstrate the robustness of the quantum correlation in QET at various phase structures, we perform the numerical analysis using several benchmark models including the Nambu-Jona-Lasino (NJL) model with both the chiral chemical potential and the chemical potential, which are useful to study the phase structures mimicking the chiral imbalance between left- and right- quarks coupled to the chirality density operator. In all cases we studied, the quantum discord behaved as an order parameter of the phase transition.
References in corpus (22)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Coupling Superconducting Qubits via a Cavity Bus
- Necessary and sufficient condition for non-zero quantum discord
- Measuring Quantum Coherence with Entanglement
- Robustness of quantum discord to sudden death
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Quantum discord and quantum phase transition in spin chains
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- Digital lattice gauge theories
- Towards Quantum Simulating QCD
- Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
- Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
- Entanglement, discord and the power of quantum computation
- A Protocol for Quantum Energy Distribution
- Quantum simulation of scattering in the quantum Ising model
- The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
- Quantum Energy Teleportation across a three-spin Ising chain in a Gibbs State
- Quasiparton distributions in massive QED2: Toward quantum computation
- Entanglement in massive Schwinger model at finite temperature and density
- Real-time chiral dynamics at finite temperature from quantum simulation
- Quantum interactive proofs using quantum energy teleportation