Building Multiple Access Channels with a Single Particle
arXiv:2006.12475 · doi:10.22331/q-2022-02-16-653
Abstract
A multiple access channel describes a situation in which multiple senders are trying to forward messages to a single receiver using some physical medium. In this paper we consider scenarios in which this medium consists of just a single classical or quantum particle. In the quantum case, the particle can be prepared in a superposition state thereby allowing for a richer family of encoding strategies. To make the comparison between quantum and classical channels precise, we introduce an operational framework in which all possible encoding strategies consume no more than a single particle. We apply this framework to an N-port interferometer experiment in which each party controls a path the particle can traverse. When used for the purpose of communication, this setup embodies a multiple access channel (MAC) built with a single particle. We provide a full characterization of the N-party classical MACs that can be built from a single particle, and we show that every non-classical particle can generate a MAC outside the classical set. To further distinguish the capabilities of a single classical and quantum particle, we relax the locality constraint and allow for joint encodings by subsets of 1<K<= N parties. This generates a richer family of classical MACs whose polytope dimension we compute. We identify a "generalized fingerprinting inequality" as a valid facet for this polytope, and we verify that a quantum particle distributed among N separated parties can violate this inequality even when K=N-1. Connections are drawn between the single-particle framework and multi-level coherence theory. We show that every pure state with K-level coherence can be detected in a semi-device independent manner, with the only assumption being conservation of particle number.
References in corpus (46)
- Advances in Quantum Metrology
- Quantifying Coherence
- Bell nonlocality
- Quantum Resource Theories
- Quantum fingerprinting
- Quantum correlations with no causal order
- Robustness of coherence: An operational and observable measure of quantum coherence
- The resource theory of quantum reference frames: manipulations and monotones
- Quantum Mechanics as Quantum Measure Theory
- A mathematical theory of resources
- Robustness of asymmetry and coherence of quantum states
- (Quantumness in the context of) Resource Theories
- Enhanced communication with the assistance of indefinite causal order
- Ruling Out Multi-Order Interference in Quantum Mechanics
- A quantitative theory of coherent delocalization
- General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
- The SWAP test and the Hong-Ou-Mandel effect are equivalent
- Quantifying Superposition
- Entanglement-Assisted Capacity of Quantum Multiple-Access Channels
- Lifting Bell inequalities
- Quantum Shannon theory with superpositions of trajectories
- The Capacity of the Quantum Multiple Access Channel
- Communication through coherent control of quantum channels
- Communicating via ignorance: Increasing communication capacity via superposition of order
- Interferometric visibility and coherence
- Certification and Quantification of Multilevel Quantum Coherence
- Resource theories of communication
- Single photon wavefront-splitting interference: An illustration of the light quantum in action
- Communication Enhancement Through Quantum Coherent Control of Channels in an Indefinite Causal-order Scenario
- Sending classical information via three noisy channels in superposition of causal orders
- Entropic framework for wave-particle duality in multipath interferometers
- Error Filtration and Entanglement Purification for Quantum Communication
- Playing Games with Multiple Access Channels
- Three Slit Experiments and the Structure of Quantum Theory
- Single-qubit optical quantum fingerprinting
- Density cubes and higher-order interference theories
- Two-way communication with a single quantum particle
- Quantum and Classical Data Transmission through Completely Depolarising Channels in a Superposition of Cyclic Orders
- Quantum Communication with Coherent States and Linear Optics
- Higher-order interference in extensions of quantum theory
- Quantum communication in a superposition of causal orders
- Coherence Equality and Communication in a Quantum Superposition
- Quantum enhancement to information acquisition speed
- Carrying an arbitrarily large amount of information using a single quantum particle
- Higher-order interference between multiple quantum particles interacting nonlinearly
- Interference as an information-theoretic game