Quantumness of gravitational field: A perspective on monogamy relation
arXiv:2401.03867 · doi:10.1103/PhysRevD.110.045016
Abstract
Understanding the phenomenon of quantum superposition of gravitational fields induced by massive quantum particles is an important starting point for quantum gravity. The purpose of this study is to deepen our understanding of the phenomenon of quantum superposition of gravitational fields. To this end, we consider a trade-off relation of entanglement (monogamy relation) in a tripartite system consisting of two massive particles and a gravitational field that may be entangled with each other. Consequently, if two particles cannot exchange information mutually, they are in a separable state, and the particle and gravitational field are always entangled. Furthermore, even when two particles can send information to each other, there is a trade-off between the two particles and the gravitational field. We also investigate the behavior of the quantum superposition of the gravitational field using quantum discord. We find that quantum discord increases depending on the length scale of the particle superposition. Our results may help understand the relationship between the quantization of the gravitational field and the meaning of the quantum superposition of the gravitational field.
19 pages, 6 figures
References in corpus (50)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Cavity Optomechanics
- Mixed State Entanglement and Quantum Error Correction
- A computable measure of entanglement
- Introducing Quantum Discord
- Entanglement of a Pair of Quantum Bits
- Distributed Entanglement
- A Spin Entanglement Witness for Quantum Gravity
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Monogamy of entanglement and other correlations
- Quantum information can be negative
- Quantum Superposition of Massive Objects and the Quantization of Gravity
- Quantum inseparability as local pseudomixture
- On the possibility of laboratory evidence for quantum superposition of geometries
- Observable quantum entanglement due to gravity
- Gravitationally Mediated Entanglement: Newtonian Field vs. Gravitons
- Quantum conditional operator and a criterion for separability
- Signatures of the Quantization of Gravity at Gravitational Wave Detectors
- Monogamy of entanglement of formation
- The Noise of Gravitons
- Noise and decoherence induced by gravitons
- An Optomechanical Quantum Cavendish Experiment
- Quantum correlation of light mediated by gravity
- Gravity-induced entanglement in optomechanical systems
- On two recent proposals for witnessing nonclassical gravity
- Experiments testing macroscopic quantum superpositions must be slow
- High Q mg-scale monolithic pendulum for quantum-limited gravity measurements
- Entanglement and decoherence of massive particles due to gravity
- Information Content of the Gravitational Field of a Quantum Superposition
- Two-slit diffraction with highly charged particles: Niels Bohr's consistency argument that the electromagnetic field must be quantized
- Signatures of the quantum nature of gravity in the differential motion of two masses
- What gravity mediated entanglement can really tell us about quantum gravity
- Decoherence and recoherence from vacuum fluctuations near a conducting plate
- Necessary and sufficient condition for saturating the upper bound of quantum discord
- Generating quantum entanglement between macroscopic objects with continuous measurement and feedback control
- Influence on electron coherence from quantum electromagnetic fields in the presence of conducting plates
- Electromagnetic Vacuum Fluctuations and Electron Coherence II: Effects of Wavepacket Size
- Non-Gaussian entanglement in gravitating masses: the role of cumulants
- Environmental gravitational decoherence and a tensor noise model
- Open Quantum System Approach to the Gravitational Decoherence of Spin-1/2 Particles
- Complementarity and causal propagation of decoherence by measurement in relativistic quantum field theories
- Monogamy of entanglement for tripartite systems
- Consistency between causality and complementarity guaranteed by the Robertson inequality in quantum field theory
- Enhancement of quantum gravity signal in an optomechanical experiment
- Effects of photon field on entanglement generation in charged particles
- Entanglement Generation and Decoherence in a Two-Qubit System Mediated by Relativistic Quantum Field
- Quantumness of gravity in harmonically trapped particles
- Quantum uncertainty of gravitational field and entanglement in superposed massive particles
- Effective description of a suspended mirror coupled to cavity light -Limitations of Q-enhancement due to normal mode splitting by an optical spring-