Simulating indefinite causal order with Rindler observers

Abstract

Realization of indefinite causal order (ICO), a theoretical possibility that even causal relations between physical events can be subjected to quantum superposition, apart from its general significance for the fundamental physics research, would also enable quantum information processing that outperforms protocols in which the underlying causal structure is definite. In this paper, we start with a proposition that an observer in a state of quantum superposition of being at two different relative distances from the event horizon of a black hole, effectively resides in ICO space-time generated by the black hole. By invoking the fact that the near-horizon geometry of a Schwarzschild black hole is that of a Rindler space-time, we propose a way to simulate an observer in ICO space-time by a Rindler observer in a state of superposition of having two different proper accelerations. By extension, a pair of Rindler observers with entangled proper accelerations simulates a pair of entangled ICO observers. Moreover, these Rindler-systems might have a plausible experimental realization by means of optomechanical resonators.

9 pages, 6 figures. Title is changed, major revision of the paper is done

References in corpus (12)

• A Spin Entanglement Witness for Quantum Gravity
• Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
• Entangled massive mechanical oscillators
• Quantum mechanics and the covariance of physical laws in quantum reference frames
• Experimental Verification of an Indefinite Causal Order
• Enhanced communication with the assistance of indefinite causal order
• Indefinite Causal Order in a Quantum Switch
• Towards Quantum Gravity: A Framework for Probabilistic Theories with Non-Fixed Causal Structure
• On the possibility of laboratory evidence for quantum superposition of geometries
• A change of perspective: switching quantum reference frames via a perspective-neutral framework
• Observer-dependent locality of quantum events
• Relativity of quantum superpositions

Cited by in corpus (7)

• Experimental Aspects of Indefinite Causal Order in Quantum Mechanics
• Evading noise in multiparameter quantum metrology with indefinite causal order
• Breaking the limits of purification: Postselection enhances heat-bath algorithmic cooling
• Quantum switch in the gravity of Earth
• Superpositions of thermalisations in relativistic quantum field theory
• Stories in the two-state vector formalism
• Causal nonseparability and its implications for spatiotemporal relations