Three approaches for analyzing the counterfactuality of counterfactual protocols
arXiv:2107.05055 · doi:10.1103/PhysRevA.104.012610
Abstract
Counterfactual communication protocols are analysed using three approaches: a classical argument, the weak trace criterion, and the Fisher information criterion. It is argued that the classical analysis leads to contradiction and should therefore be abandoned. The weak trace and Fisher information criteria are shown to agree about the degree of counterfactuality of communication protocols involving postselection. It is argued that postselection is a necessary ingredient of counterfactual communication protocols. Coherent interaction experiments, as well as a recently introduced modification of counterfactual communication setups which eliminates the weak trace, are discussed.
arXiv comment18 pages, 13 figures, accepted to Phys. Rev. A
References in corpus (24)
- Quantum Mechanical Interaction-Free Measurements
- Counterfactual Quantum Cryptography
- Protocol for direct counterfactual quantum communication
- The past of a quantum particle
- Particle Path Through a Nested Mach-Zehnder Interferometer
- Protocol for Counterfactually Transporting an Unknown Qubit
- Comment on "Protocol for Direct Counterfactual Quantum Communication" [arXiv:1206.2042]
- The Impossibility of the Counterfactual Computation for all Possible Outcomes
- Universality of local weak interactions and its application for interferometric alignment
- Past of a quantum particle: Common sense prevails
- Modification of "Counterfactual communication protocols" which eliminates weak particle traces
- Comment on "Past of a quantum particle revisited"
- Quantum Counterfactual Communication Without a Weak Trace
- Analysis of counterfactuality of counterfactual communication protocols
- Comment on "Direct counterfactual transmission of a quantum state"
- Exchange-Free Computation on an Unknown Qubit at a Distance
- Evaluation of Counterfactuality in Counterfactual Communication Protocols
- Optical Communication Without Photons
- How Quantum is Quantum Counterfactual Communication?
- Post-Selection and Counterfactual Communication
- Reply to "Comment on `Past of a quantum particle revisited' "
- Comment on "Particle Path Through a Nested Mach-Zehnder Interferometer"
- Deterministic Teleportation and Universal Computation Without Particle Exchange
- Reply to Comment on "Particle Path Through a Nested Mach-Zehnder Interferometer"
Cited by in corpus (7)
- Weak values and the past of a quantum particle
- The laws of physics do not prohibit counterfactual communication
- Deterministic Teleportation and Universal Computation Without Particle Exchange
- Counterfactuality, back-action, and information gain in multi-path interferometers
- Exploring postselection-induced quantum phenomena with time-bidirectional state formalism
- Reply to "Counterfactual communication not achieved yet -- A Comment on Salih et al. (2022)"
- Theory of coherent interaction-free detection of pulses