Resource theories of communication

Abstract

A series of recent works has shown that placing communication channels in a coherent superposition of alternative configurations can boost their ability to transmit information. Instances of this phenomenon are the advantages arising from the use of communication devices in a superposition of alternative causal orders, and those arising from the transmission of information along a superposition of alternative trajectories. The relation among these advantages has been the subject of recent debate, with some authors claiming that the advantages of the superposition of orders could be reproduced, and even surpassed, by other forms of superpositions. To shed light on this debate, we develop a general framework of resource theories of communication. In this framework, the resources are communication devices, and the allowed operations are (a) the placement of communication devices between the communicating parties, and (b) the connection of communication devices with local devices in the parties' laboratories. The allowed operations are required to satisfy the minimal condition that they do not enable communication independently of the devices representing the initial resources. The resource-theoretic analysis reveals that the aforementioned criticisms on the superposition of causal orders were based on an uneven comparison between different types of quantum superpositions, exhibiting different operational features.

25 pages, 12 figures

References in corpus (8)

• Quantum Circuits Architecture
• Quantum Communication With Zero-Capacity Channels
• Transforming quantum operations: quantum supermaps
• Experimental Verification of an Indefinite Causal Order
• Quantum Metrology with Indefinite Causal Order
• Application of the Resource Theory of Channels to Communication Scenarios
• Sending classical information via three noisy channels in superposition of causal orders
• Experimental quantum key distribution over highly noisy channels

Cited by in corpus (53)

• Experimental Quantum Communication Enhancement by Superposing Trajectories
• Computational advantage from quantum superposition of multiple temporal orders of photonic gates
• Quantum circuits with classical versus quantum control of causal order
• Noisy quantum metrology with the assistance of indefinite causal order
• Work extraction from coherently activated maps via quantum switch
• Quantum and Classical Data Transmission through Completely Depolarising Channels in a Superposition of Cyclic Orders
• Experiments on quantum causality
• Experimental Aspects of Indefinite Causal Order in Quantum Mechanics
• Beyond Shannon Limits: Quantum Communications through Quantum Paths
• Thermodynamics of quantum switch information capacity activation
• Random-Receiver Quantum Communication
• Causal structure in the presence of sectorial constraints, with application to the quantum switch
• Indefinite causal order for quantum metrology with quantum thermal noise
• Quantum parameter estimation on coherently superposed noisy channels
• Symmetries of quantum evolutions
• Quick charging of a quantum battery with superposed trajecotries
• Resource theory of causal connection
• Communication, Dynamical Resource Theory, and Thermodynamics
• Resource theory of superposition: State transformations
• Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
• Higher-order Process Matrix Tomography of a passively-stable Quantum SWITCH
• Routed quantum circuits
• Superposed Quantum Error Mitigation
• Virtual quantum resource distillation: General framework and applications
• Deterministic Generation of Multipartite Entanglement via Causal Activation in the Quantum Internet
• Enhancing Quantum Computation via Superposition of Quantum Gates
• Reassessing thermodynamic advantage from indefinite causal order
• Space-time dual quantum Zeno effect: Interferometric engineering of open quantum system dynamics
• Quantum communication through devices with indefinite input-output direction
• Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states
• Maxwell's two-demon engine under pure dephasing noise
• Universal resources for quantum computing
• Quantum networks boosted by entanglement with a control system
• Universal construction of decoders from encoding black boxes
• Improving entanglement purification through coherent superposition of roles
• Quantum chicken-egg dilemmas: Delayed-choice causal order and the reality of causal non-separability
• Quantum resource theory of coding for error correction
• Building Multiple Access Channels with a Single Particle
• Quantum Supermaps are Characterized by Locality
• A Diagrammatic Approach to Information Transmission in Generalised Switches
• The Multi-round Process Matrix
• Revisiting dynamics of quantum causal structures -- when can causal order evolve?
• Boosting entanglement growth of many-body localization by superpositions of disorder
• Indefinite causal key distribution
• One-shot manipulation of coherence in dynamic quantum resource theory
• Indefinite Time Directed Quantum Metrology
• How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
• Emergent non-Markovianity and dynamical quantification of the quantum switch
• Information Carried by a Single Particle in Quantum Multiple-Access Channels
• Causality in Higher Order Process Theories
• Enhancement of non-Stabilizerness within Indefinite Causal Order
• Methods of constructing superposition measures
• Distributed Quantum Dense Coding Enhanced With Non-classical Routing