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Physical Review A

Long-term stability of quantum resources through gravitational cat states in a dissipative Markovian environment

Anas Ait Chlih, Tamer A. Seoudy

Published Jun 22, 2026• 0 citations
Publisher

Abstract

The paradigm in which gravity can generate entanglement between distant masses represents a profound shift in our understanding of quantum-gravitational interfaces and is still among the active and debated topics. Recent work [A. ur Rahman , ] established gravitational cat states as robust carriers of quantum correlations under thermal and classical fields. In our work, we demonstrate their capacity to stabilize quantum resources under a dissipative environment, which is the dominant decoherence mechanism in engineered platforms such as superconducting qubits. By incorporating both gravitational-like and spin-orbit couplings in a Markovian open system, we analytically demonstrate that quantum correlations attain nonvanishing steady-state values, and the stationary fidelity is enhanced by increasing the gravitational-like coupling. The spin-orbit interaction drives Rabi-like oscillations that counteract monotonic decay, and the gravitational coupling mimics non-Markovian memory, enabling long-term information stability. These mechanisms position gravity-inspired interactions not merely as entanglement generators, but as active stabilizers of quantumness in realistic dissipative environments.

DOI
10.1103/68pc-tskl

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The paradigm in which gravity can generate entanglement between distant masses represents a profound shift in our understanding of quantum-gravitational interfaces and is still among the active and debated topics. Recent work [A. ur Rahman , ] established gravitational cat states as robust carriers of quantum correlations under thermal and classical fields. In our work, we demonstrate their capacity to stabilize quantum resources under a dissipative environment, which is the dominant decoherence mechanism in engineered platforms such as superconducting qubits. By incorporating both gravitational-like and spin-orbit couplings in a Markovian open system, we analytically demonstrate that quantum correlations attain nonvanishing steady-state values, and the stationary fidelity is enhanced by increasing the gravitational-like coupling. The spin-orbit interaction drives Rabi-like oscillations that counteract monotonic decay, and the gravitational coupling mimics non-Markovian memory, enabling long-term information stability. These mechanisms position gravity-inspired interactions not merely as entanglement generators, but as active stabilizers of quantumness in realistic dissipative environments.
We investigate how resourceful gravitational cat states are to preserve quantum correlations. In this regard, we explore the dynamics of gravitational cat states under different situations such as thermal, classical stochastic, general decaying, and power-law noisy fields. In particular, the one-way steerability, Bell nonlocality, entanglement, and purity in two qubits are our main focus. We also address the weak measurement protocol on the dynamics of quantum correlations and purity of the state. Our results show that the gravitational cat states have a reliable and better capacity to preserve quantum correlations and remain one of the good resources for the deployment of quantum information processing protocols. Additionally, two independent channels are also employed, and it is observed that only the weaker coupling regimes are effective in preserving quantum correlations. Notably, in terms of non-Markovian dynamics implication, quantum correlations are found to be longer preserved because of the information feedback phenomenon between the system and environment. Finally, we present a brief analysis to extend our gravitational model to include the electrostatic notion, providing insight into the key differences between the considered configurations.
We explore the quantum features of two gravitational cats (gravcats) modeled by two qubits, focusing on quantum steerability, concurrence, and geometric quantum discord under varying conditions of gravitational interaction strength, temperature, and excitation energy. We first analyze the system without dephasing effects, revealing that two-way quantum steering occurs at lower temperatures and higher gravitational interaction strengths. As temperature increases, thermal noise reduces steerability, though gravitational effects remain significant, indicating a non-monotonic behavior dependent on energy and mass scales. Furthermore, quantum correlations exhibit a hierarchy, with geometric quantum discord persisting even when steering and entanglement vanish. We then explore the impact of environmental dephasing and classical correlations on the system's dynamics. Our findings demonstrate that classical correlations in correlated dephasing channels can protect quantum resources, enhancing their stability in both Markovian and non-Markovian regimes. This work highlights the intricate interplay between gravitational interactions, thermal effects, and environmental noise in preserving quantum resources.
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Massive quantum systems have emerged as compelling tabletop interface-systems for testing the quantum nature of gravity. However, conventional schemes that focus on directly using gravity to induce entanglement suffer from overwhelming environmental decoherence: maintaining entanglement between two oscillators requires an impractically high mechanical quality factor. In this work, we put forward an alternative reservoir-engineered scheme, whose core function is to quantify how gravity modifies (rather than prepares) the steady-state entanglement. Compared to quantum gravity, classical gravity introduces additional dissipative channels, which in turn give rise to distinct entanglement characteristics and thus enable the discrimination between the two types of gravity. Notably, this entanglement difference can still be maintained even when the mechanical quality factor is far below the threshold required by conventional schemes. Moreover, it demonstrates significant robustness against non-gravitational couplings, specifically, those like Casimir and Coulomb forces that are inherent in experimental setups. Our scheme relaxes the experimental requirements for verifying quantum gravity, thereby paving a new path toward its near-term realization.
Abstract We show that general relativistic time dilation can act as a controllable source of non-Markovianity in the dynamics of delocalized quantum clocks coupled to structured environments. As a concrete setting, we model a delocalized quantum clock, a two-level Unruh-DeWitt detector interacting with a thermal scalar field with finite correlation time in a weak, static gravitational field. The gravitational redshift between spatially sepa- rated branches leads to a path-dependent sampling of the bath correlation functions and to an effective spectral mismatch between the arms of the interferometer. Within a second-order time-convolutionless expansion we derive a time-local master equation whose time-dependent rates depend explicitly on the redshift parameter and reduce to the usual Markovian Gorini-Kossakowski-Sudarshan-Lindblad generator when gravity is switched off or the bath becomes memoryless. Numerical evaluation for an Ohmic environment reveals gravitationally in- duced coherence revivals and information backflow, providing a genuine non-Markovian signature that can be quantified by standard trace-distance measures. We identify a resonance-like regime in which the gravitational detuning becomes comparable to the dominant bath frequencies, leading to a suppression of decoherence and an enhancement of entanglement lifetimes relative to the flat-space Markovian case. Finally, by comparing the size of the gravity-induced deviations to quantum projection noise in state-of-the-art optical clocks, we derive an analytic signal-to-noise ratio and show that, within our model, engineered low-frequency reservoirs could al- low gravity-controlled memory effects to be resolved above the shot-noise limit on few-hour integration times, whereas for fast thermal baths the effect remains QPN-limited and effectively unobservable.
Quantum dots are nanometer-scale semiconductor particles that exhibit size-dependent quantum mechanical properties. In this work, we investigate the dynamics of quantum correlations, quantified by the concurrence and the quantum coherence, in a bipartite system of coupled double quantum dots. The analysis is carried out within both Markovian and non-Markovian regimes, and further extended to different noisy quantum channels, including amplitude damping, phase flip, and phase damping. Our results show that environmental memory plays a crucial role in the preservation of quantum correlations, leading to oscillatory behavior and partial revivals in the non-Markovian regime, in contrast to the monotonic decay observed under Markovian dynamics. Moreover, distinct decoherence mechanisms induce qualitatively different effects: dissipative channels rapidly suppress correlations, while phase-based channels lead to either redistribution or gradual degradation. A key finding is that quantum coherence exhibits a higher robustness compared to entanglement under all considered conditions, highlighting its relevance as a reliable quantum resource in noisy environments. These results provide valuable insights into the control and protection of quantum correlations in realistic solid-state systems.