Effective Quantum Time Travel

Abstract

The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable situations, to realize encrypted measurements of future states for which the decryption key becomes available only after the state is created, and to probabilistically realize a multistage quantum state processing within the time needed to complete only one stage. The probabilistic nature of the process resolves any paradox.

8 pages, 6 figures

References in corpus (10)

• Quantum entanglement
• Closed timelike curves via post-selection: theory and experimental demonstration
• The quantum mechanics of time travel through post-selected teleportation
• Can closed timelike curves or nonlinear quantum mechanics improve quantum state discrimination or help solve hard problems?
• Localized closed timelike curves can perfectly distinguish quantum states
• Perfect state distinguishability and computational speedups with postselected closed timelike curves
• Closed timelike curves in measurement-based quantum computation
• Verifiable nonlinear quantum evolution implies failure of density matrices to represent proper mixtures
• Problems with modelling closed timelike curves as post-selected teleportation
• A reply to "Problems with modelling closed timelike curves as post-selected teleportation"

Cited by in corpus (33)

• Quantum computations without definite causal structure
• Quantum computation with indefinite causal structures
• Quantum and Classical Data Transmission through Completely Depolarising Channels in a Superposition of Cyclic Orders
• Quantum operations with indefinite time direction
• Treating Time Travel Quantum Mechanically
• Reversible time travel with freedom of choice
• Reversible dynamics with closed time-like curves and freedom of choice
• Quantum Interactions with Closed Timelike Curves and Superluminal Signaling
• Computational tameness of classical non-causal models
• A general framework for cyclic and fine-tuned causal models and their compatibility with space-time
• Unlimited non-causal correlations and their relation to non-locality
• Experimental superposition of time directions
• An analysis of the trade-off between spatial and temporal resources for measurement-based quantum computation
• Experimental demonstration of input-output indefiniteness in a single quantum device
• Lectures on Faster-than-Light Travel and Time Travel
• Nonclassical advantage in metrology established via quantum simulations of hypothetical closed timelike curves
• Agnostic Phase Estimation
• Memory in quantum processes with indefinite time direction and causal order
• Simulations of closed timelike curves
• A note on superposition of two unknown states using Deutsch CTC model
• Equivalence of Grandfather and Information Antinomy Under Intervention
• Compact quantum circuits from one-way quantum computation
• Closed timelike curves and the second law of thermodynamics
• Exploring postselection-induced quantum phenomena with time-bidirectional state formalism
• Parallelizable adiabatic gate teleportation
• Quantum State Discrimination Circuits Inspired by Deutschian Closed Timelike Curves
• Quantum Correlations in Space-Time: Foundations and Applications
• Retrodiction of measurement outcomes on a single quantum system reveals entanglement with its environment
• Quantum no-go theorems in causality respecting systems in presence of closed timelike curves: Tweaking the Deutsch condition
• Mixedness and Entanglement in the presence of Localized Closed Timelike Curves
• Distinguishing quantum states using time travelling qubits in a presence of thermal environments
• The props of quantum mechanics
• Entropic uncertainty under indefinite causal order and input-output direction