Multiqubit coherence of mixed states near event horizon

Abstract

We investigate the coherence of mixed Greenberger-Horne-Zeilinger (GHZ) and W states for bosonic and fermionic fields when a subset of $n$ ($n<N$) qubits experiences Hawking radiation near a Schwarzschild black hole. Analytical expressions are derived for the coherence of mixed N-qubit systems, including both the physically accessible and inaccessible parts in curved spacetime. The results show that the mixed W state maintains its coherence more effectively than the GHZ state as the Hawking temperature increases, even though its entanglement is weaker. As the number of qubits grows, W-state coherence becomes increasingly resistant to gravitational decoherence. Furthermore, fermionic fields preserve stronger entanglement, while bosonic fields retain higher coherence, highlighting a clear contrast between different particle statistics. These findings demonstrate how the Schwarzschild spacetime reshapes the balance between quantum coherence and entanglement, offering guidance for future relativistic quantum information applications.

32 pages, 9 figures

References in corpus (44)

• Measuring Quantum Coherence with Entanglement
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Quantum error correction below the surface code threshold
• Observable measure of quantum coherence in finite dimensional systems
• Entanglement of Dirac fields in non-inertial frames
• Tunnelling, Temperature and Taub-NUT Black Holes
• The Fidelity and Trace Norm Distances for Quantifying Coherence
• Mixed-state evolution in the presence of gain and loss
• Continuous variable entanglement sharing in non-inertial frames
• Hawking radiation, Entanglement and Teleportation in background of an asymptotically flat static black hole
• Gaussian Boson Sampling with Pseudo-Photon-Number Resolving Detectors and Quantum Computational Advantage
• Microsatellite-based real-time quantum key distribution
• Genuine tripartite nonlocality and entanglement in curved spacetime
• Particle and anti-particle bosonic entanglement in non-inertial frames
• Analogue simulations of quantum gravity with fluids
• Quantum simulation of Hawking radiation and curved spacetime with a superconducting on-chip black hole
• Lorentz violation alleviates gravitationally induced entanglement degradation
• Satellite-based entanglement distribution and quantum teleportation with continuous variables
• Accessible and inaccessible quantum coherence in relativistic quantum systems
• Hawking effect can generate physically inaccessible genuine tripartite nonlocality
• Entropic uncertainty relations in Schwarzschild space-time
• Would quantum coherence be increased by curvature effect in de Sitter space?
• Harvesting correlations from BTZ black hole coupled to a Lorentz-violating vector field
• Quantum Characteristics Near Event Horizons
• Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
• Maximal steered coherence in the background of Schwarzschild space-time
• Entanglement degradation as a tool to detect signatures of quantum gravity
• Probing cosmic string spacetime through parameter estimation
• Observational signature of Lorentz violation in acceleration radiation
• Gaussian tripartite steering in Schwarzschild black hole
• Simulation of the massless Dirac field in 1+1D curved spacetime
• Ramp-up of Hawking radiation in Bose-Einstein condensate analogue black holes
• Entanglement dynamics in $\kappa$-deformed spacetime
• Tuning Superinductors by Quantum Coherence Effects for Enhancing Quantum Computing
• Optimal quantum strategy for locating Unruh channels
• Does acceleration always degrade quantum entanglement for tetrapartite Unruh-DeWitt detectors?
• Toward the Observation of Entangled Pairs in BEC analogue Expanding Universes
• Polariton Fluids as Quantum Field Theory Simulators on Tailored Curved Spacetimes
• Genuine tripartite entanglement of W state subject to Hawking effect of a Schwarzschild black hole
• Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy
• Can the latent signatures of quantum superposition be detected through correlation harvesting?
• Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
• Nonseparability of multipartite systems in dilaton black hole
• Simulating Hawking radiation in quantum many-body systems: deviations from the thermal spectrum