Accessing inaccessible information via quantum indistinguishability
arXiv:2203.16592 · doi:10.1088/1367-2630/ad0751
Abstract
In this paper we present and analyze an information-theoretic task that consists in learning a bit of information by spatially moving the "target" particle that encodes it. We show that, on one hand, the task can be solved with the use of additional independently prepared quantum particles, only if these are indistinguishable from the target particle. On the other hand, the task can be solved with the use of distinguishable quantum particles, only if they are entangled with the target particle. Our task thus provides a new example in which the entanglement apparently inherent to independently prepared indistinguishable quantum particles is put into use for information processing. Importantly, a novelty of our protocol lies in that it does not require any spatial overlap between the involved particles. Besides analyzing the class of quantum-mechanical protocols that solve our task, we gesture towards possible ways of generalizing our results and of applying them in cryptography.
arXiv comment12 pages, 1 figure
References in corpus (45)
- Separability Criterion for Density Matrices
- Quantum fingerprinting
- Quantum Entanglement in Fermionic Lattices
- Quantum Correlations in Systems of Indistinguishable Particles
- Quantum Correlations in Two-Fermion Systems
- The entanglement of indistinguishable particles shared between two parties
- General criterion for the entanglement of two indistinguishable particles
- Quantum Correlations in Two-Boson Wavefunctions
- Entanglement in a two-identical-particle system
- Indistinguishability of elementary systems as resource for quantum information processing
- Entanglement by Path Identity
- Quantum Walk on a Line with Two Entangled Particles
- Quantum Entanglement of Identical Particles
- Entanglement in indistinguishable particle systems
- Operationally accessible entanglement of one dimensional spinless fermions
- Quantum one-time programs
- General probabilistic theories: An introduction
- Describing mixed spin-space entanglement of pure states of indistinguishable particles using an occupation number basis
- Entanglement between identical particles is a useful and consistent resource
- Entanglement of Identical Particles and the Detection Process
- Entanglement in The Second Quantization Formalism
- Robust entanglement preparation against noise by controlling spatial indistinguishability
- Entanglement and Properties
- Indistinguishability-enabled coherence for quantum metrology
- Entanglement Concentration Using Quantum Statistics
- Experimental control of remote spatial indistinguishability of photons to realize entanglement and teleportation
- Useful entanglement from the Pauli principle
- Spin-Space Entanglement Transfer and Quantum Statistics
- Entangling Bosons through Particle Indistinguishability and Spatial Overlap
- Quantum advantage for probabilistic one-time programs
- Dynamics of spatially indistinguishable particles and entanglement protection
- Activating remote entanglement in a quantum network by local counting of identical particles
- Optimal State Discrimination Using Particle Statistics
- Entanglement of Identical Particles and Coherence in the First Quantization Language
- Enhanced energy transfer to an optomechanical piston from indistinguishable photons
- Entangling three identical particles via spatial overlap
- Remote entanglement distribution in a quantum network via multinode indistinguishability of photons
- Experimental quantum phase discrimination enhanced by controllable indistinguishability-based coherence
- Graph Picture of Linear Quantum Networks and Entanglement
- Entanglement swapping via three-step quantum walk-like protocol
- Sculpting out quantum correlations with bosonic subtraction
- Entanglement and non-locality in quantum protocols with identical particles
- Locality and entanglement of indistinguishable particles
- How to Distinguish Identical Particles. the General Case
- Sculpting bosonic states with arithmetic subtractions