Information Flow of quantum states interacting with closed timelike curves

Abstract

Recently, the quantum information processing power of closed timelike curves have been discussed. Because the most widely accepted model for quantum closed timelike curve interactions contains ambiguities, different authors have been able to reach radically different conclusions as to the power of such interactions. By tracing the information flow through such systems we are able to derive equivalent circuits with unique solutions, thus allowing an objective decision between the alternatives to be made. We conclude that closed timelike curves, if they exist and are well described by these simple models, would be a powerful resource for quantum information processing.

Now includes appendix proving Deutsch's maximum entropy conjecture

References in corpus (3)

• Can closed timelike curves or nonlinear quantum mechanics improve quantum state discrimination or help solve hard problems?
• Quantum Connectivity of Space-Time and Gravitationally Induced Decorrelation of Entanglement
• Unitary Solution to a Quantum Gravity Information Paradox

Cited by in corpus (30)

• The quantum mechanics of time travel through post-selected teleportation
• Experimental Simulation of Closed Timelike Curves
• Relativistic quantum information and time machines
• Open timelike curves violate Heisenberg's uncertainty principle
• Perfect state distinguishability and computational speedups with postselected closed timelike curves
• Quantum state cloning in the presence of a closed timelike curve
• Treating Time Travel Quantum Mechanically
• Reversible time travel with freedom of choice
• Reversible dynamics with closed time-like curves and freedom of choice
• Replicating the benefits of closed timelike curves without breaking causality
• Purification of Mixed State with Closed Timelike Curve is not Possible
• Quantum fields on closed time-like curves
• Simulations of closed timelike curves
• A note on superposition of two unknown states using Deutsch CTC model
• Closed timelike curves and the second law of thermodynamics
• Spinning up a Time Machine
• Time-travelling billiard-ball clocks: a quantum model
• Reply to comment on "Information Flow of quantum states interacting with closed timelike curves"
• Causality Violation and Nonlinear Quantum Mechanics
• The D-CTC condition is generically fulfilled in classical (non-quantum) statistical systems
• Any quantum state can be cloned in the presence of closed timelike curves
• Comment on "Information flow of quantum states interacting with closed timelike curves"
• Billiard-ball paradox for a quantum wave packet
• Quantum no-go theorems in causality respecting systems in presence of closed timelike curves: Tweaking the Deutsch condition
• Revisiting Integer Factorization using Closed Timelike Curves
• Reality, Causality, and Quantum Theory
• Mixedness and Entanglement in the presence of Localized Closed Timelike Curves
• Retrocausal capacity of a quantum channel: Communicating through noisy closed timelike curves
• Cosmological and lunar laser ranging constraints on evolving dark energy in a nonminimally coupled curvature-matter gravity model
• Quantum state tomography on closed timelike curves using weak measurements