Beyond Shannon Limits: Quantum Communications through Quantum Paths
arXiv:1912.08575 · doi:10.1109/JSAC.2023.3288263
Abstract
A crucial step towards the 6th generation (6G) of networks would be a shift in communication paradigm beyond the limits of Shannon's theory. In both classical and quantum Shannon's information theory, communication channels are generally assumed to combine through classical trajectories, so that the associated network path traversed by the information carrier is well-defined. Counter-intuitively, quantum mechanics enables a quantum information carrier to propagate through a quantum path, i.e., through a path such that the causal order of the constituting communications channels becomes indefinite. Quantum paths exhibit astonishing features, such as providing non-null capacity even when no information can be sent through any classical path. In this paper, we study the quantum capacity achievable via a quantum path and establish upper and the lower bounds for it. Our findings reveal the substantial advantage achievable with a quantum path over any classical placements of communications channels in terms of ultimate achievable communication rates. Furthermore, we identify the region where a quantum path incontrovertibly outperforms the amount of transmissible information beyond the limits of conventional quantum Shannon's theory, and we quantify this advantage over classical paths through a conservative estimate.
arXiv comment18 pages, 13 figures
References in corpus (53)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Fundamental Limits of Repeaterless Quantum Communications
- General Benchmarks for Quantum Repeaters
- Advances in Quantum Teleportation
- Distillation of secret key and entanglement from quantum states
- The capacity of the noisy quantum channel
- Quantum data processing and error correction
- Quantum computations without definite causal structure
- Quantum Internet: Networking Challenges in Distributed Quantum Computing
- Fundamental rate-loss tradeoff for optical quantum key distribution
- Information transmission through a noisy quantum channel
- Capacities of Quantum Erasure Channels
- A Survey on Quantum Channel Capacities
- Experimental Superposition of Orders of Quantum Gates
- When Entanglement meets Classical Communications: Quantum Teleportation for the Quantum Internet (Invited Paper)
- Computational advantage from quantum-controlled ordering of gates
- Experimental Verification of an Indefinite Causal Order
- Advances in Space Quantum Communications
- Enhanced communication with the assistance of indefinite causal order
- Perfect discrimination of no-signalling channels via quantum superposition of causal structures
- Indefinite Causal Order in a Quantum Switch
- Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication
- Quantum Internet Protocol Stack: a Comprehensive Survey
- Quantum Metrology with Indefinite Causal Order
- Experimental transmission of quantum information using a superposition of causal orders
- Experimental Quantum Switching for Exponentially Superior Quantum Communication Complexity
- Qubit Entanglement Breaking Channels
- Quantum superposition of the order of parties as a communication resource
- Quantum Refrigeration with Indefinite Causal Order
- Indefinite causal order enables perfect quantum communication with zero capacity channels
- Quantum Shannon theory with superpositions of trajectories
- Quantum computation with programmable connections between gates
- Quantum Switch for the Quantum Internet: Noiseless Communications through Noisy Channels
- The quantum capacity with symmetric side channels
- Communication through coherent control of quantum channels
- Communicating via ignorance: Increasing communication capacity via superposition of order
- Communication through quantum-controlled noise
- Strict hierarchy between parallel, sequential, and indefinite-causal-order strategies for channel discrimination
- Resource theories of communication
- Sending classical information via three noisy channels in superposition of causal orders
- Dephrasure channel and superadditivity of coherent information
- Overcoming erasure errors with multilevel systems
- Work extraction from coherently activated maps via quantum switch
- Optimal Strategies of Quantum Metrology with a Strict Hierarchy
- Thermodynamic advancement in the causally inseparable occurrence of thermal maps
- Experiments on quantum causality
- Quantum communication in a superposition of causal orders
- Experimental entanglement of temporal order
- Thermal devices powered by generalized measurements with indefinite causal order
- The Quantum Internet: Enhancing Classical Internet Services one Qubit at a Time
- Quantum Shannon Theory
- Geometry of the Pauli maps and Pauli channels
- Information transmission with continuous variable quantum erasure channels
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- Estimation of multivariate traces of states given partial classical information
- Correlations in a quantum switch-based heat engine with measurements: A proof-of-principle demonstration
- Spatial Path Superposition: A No-Cloning Perspective on MIMO-Inspired Spatial Diversity