Signaling versus distinguishing different superpositions of same pure quantum state
arXiv:1904.05720 · doi:10.1088/1751-8121/ab915a
Abstract
Different ensembles of quantum states can have the same average nonpure state. Distinguishing between such constructions, via different mixing procedures of the same nonpure quantum state, is known to entail signaling. In parallel, different superpositions of pure quantum states can lead to the same pure state. We show that the possibility of distinguishing between such preparations, via different interferometric setups leading to the same pure quantum state, also implies signaling. The implication holds irrespective of whether the distinguishing procedure is deterministic or probabilistic.
arXiv commentv1: 2 pages. Please also look at the paper by A.K. Pati on arXiv today for a different perspective. v2: paper re-written to motivate the results better, previous results unchanged. v3 Journal reference and DOI added
References in corpus (38)
- Quantum entanglement
- Mixed State Entanglement and Quantum Error Correction
- Good Quantum Error-Correcting Codes Exist
- Quantum Error Correction for Quantum Memories
- Multiple Particle Interference and Quantum Error Correction
- No Signalling and Quantum Key Distribution
- Information Causality as a Physical Principle
- Unconditionally secure quantum bit commitment is impossible
- From Bell's Theorem to Secure Quantum Key Distribution
- Quantum Information and Relativity Theory
- Is Quantum Bit Commitment Really Possible?
- Probabilistic cloning and identification of linearly independent quantum states
- Probabilistic teleportation and entanglement matching
- Probabilistic teleportation of two-particle entangled state
- Unconditionally Secure Bit Commitment
- Quantum cloning without signaling
- Generalizing the generalized Chaplygin gas
- Reexamination of Quantum Bit Commitment: the Possible and the Impossible
- Experimental bit commitment based on quantum communication and special relativity
- Quantum superposition of multiple clones and the novel cloning machine
- Approximate quantum cloning and the impossibility of superluminal information transfer
- NMR Experimental Demonstration of Probabilistic Quantum Cloning
- Deterministic and Unambiguous Dense Coding
- No-signaling Principle Can Determine Optimal Quantum State Discrimination
- Probabilistic quantum cloning via Greenberger-Horne-Zeilinger states
- Deterministic versus probabilistic quantum information masking
- Helstrom Theorem by No-Signaling Condition
- Common origin of no-cloning and no-deleting principles - Conservation of information
- Minimum-error multiple state discrimination constrained by the no-signaling principle
- Realizing probabilistic identification and cloning of quantum states via universal quantum logic gates
- Probabilistic cloning with supplementary information
- Qubit and Entanglement assisted Optimal Entanglement Concentration
- One-shot conclusive multiport quantum dense coding capacities
- Optimality of minimum-error discrimination by the no-signalling condition
- Mean number of visits to sites in Levy flights
- Probabilistic cloning with supplementary information contained in the quantum states of two auxiliary systems
- Part probabilistic cloning of linearly dependent states
- Probabilistic quantum cloning of N quantum states