Asymptotically good Fock-state codes are built from random classical codes in the discrete simplex to correct linearly many photon losses under amplitude-damping noise, with bounded per-mode occupancy.
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Principles of Quantum Communication Theory: A Modern Approach
22 Pith papers cite this work, alongside 77 external citations. Polarity classification is still indexing.
22
Pith papers citing it
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abstract
This is a preliminary version of a book in progress on the theory of quantum communication. We adopt an information-theoretic perspective throughout and give a comprehensive account of fundamental results in quantum communication theory from the past decade (and earlier), with an emphasis on the modern one-shot-to-asymptotic approach that underlies much of today's state-of-the-art research in this field. In Part I, we cover mathematical preliminaries and provide a detailed study of quantum mechanics from an information-theoretic perspective. We also provide an extensive and thorough review of quantum entropies, and we devote an entire chapter to the study of entanglement measures. Equipped with these essential tools, in Part II we study classical communication (with and without entanglement assistance), entanglement distillation, quantum communication, secret key distillation, and private communication. In Part III, we cover the latest developments in feedback-assisted communication tasks, such as quantum and classical feedback-assisted communication, LOCC-assisted quantum communication, and secret key agreement.
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A continuous process tensor is defined by embedding the discrete multi-partite Choi matrix of a quantum comb into bosonic Fock space, closing the gap between discrete and continuum descriptions of multi-time quantum processes.
Dense network coding computes group operations over multiaccess networks with half the classical communication cost using shared entanglement plus quantum channels, and yields measurement-device-independent quantum key growing.
Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.
Quantum relative entropy is the unique normalized, additive, Lorenz-continuous divergence monotone under binary guessing games.
Steering certification lifts to measurement-device-independent regime in networks using fiduciary states, with full bipartite CV characterization and Gaussian protocols.
Optimal query algorithms for testing unitary channels under depolarizing noise yield Θ(1/ε) complexity with matching lower bounds even for adaptive ancilla-assisted protocols.
Introduces forward-assisted purification via a new spatiotemporal framework that outperforms conventional static purification by up to 50x in copy efficiency and circumvents no-purification theorems for Bell states.
Optimal success probability for identifying one or two faulty unknown unitaries is independent of total device count, achieved via an ancillary-system protocol that allows independent testing.
In a composite quantum hypothesis testing scenario with dephasing, the reverse sandwiched Renyi divergence for alpha in (0,1) exactly determines the single-copy Hoeffding exponent.
The interpolation and spectral norms in tracial nonassociative L^p-spaces are equivalent but not isometric for p ≠ 2.
Computational constraints exponentially suppress accessible entanglement for some highly entangled quantum states and can make mixed-state min-entropy appear maximal when the information-theoretic version is negative.
For any quantum channel used as a noisy retrocausal link, the one-shot quantum and classical capacities are exactly given by the channel's max-information and Doeblin information.
Proves additivity of doubly minimized Petz Renyi mutual information for alpha in [1/2,2] and a novel duality plus additivity for the sandwiched version for alpha in [2/3, infinity] via Sion's minimax theorem.
Introduces a universal thermometer model defining a unique contact temperature β_op for any finite-dimensional quantum state as the inverse temperature where heat exchange with the system vanishes.
The paper introduces a phase framework for data distributions connected by local denoisers and demonstrates that reverse diffusion consists of trivial and data phases separated by a transition where local score functions must fail, tied to spatial Markovianity.
Higher moments of the projected process ensemble reveal entanglement structures that distinguish chaotic from integrable dynamics more sharply than quantum dynamical or spatiotemporal entropies.
Semidefinite optimization yields arbitrarily tight upper and lower bounds on the quantum relative entropy of channels via discretized linearization of an integral representation.
Upper bounds on distillable conference key in pair-entangled networks are derived depending on topology and entanglement, with tightness proven and optimality of pairwise distillation plus merging shown for specific cases.
Authors introduce quantum computational min- and max-entropies with properties including data processing and chain rules, plus an operational link to bounded-circuit entanglement distillation.
citing papers explorer
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Asymptotically good bosonic Fock state codes
Asymptotically good Fock-state codes are built from random classical codes in the discrete simplex to correct linearly many photon losses under amplitude-damping noise, with bounded per-mode occupancy.
-
An operational continuum limit of quantum combs
A continuous process tensor is defined by embedding the discrete multi-partite Choi matrix of a quantum comb into bosonic Fock space, closing the gap between discrete and continuum descriptions of multi-time quantum processes.
-
Communication Advantages from Quantum Dense Network Coding
Dense network coding computes group operations over multiaccess networks with half the classical communication cost using shared entanglement plus quantum channels, and yields measurement-device-independent quantum key growing.
-
A Nonstabilizerness Resource Law for Universal Quantum State Purification
Universal two-copy quantum state purification under depolarizing noise requires magic resources that scale linearly with the fidelity gain, establishing an exact resource law for odd dimensions and tight bounds for multi-qubit systems.
-
Quantum Noncommutativity Uniquely Determines Relative Entropy
Quantum relative entropy is the unique normalized, additive, Lorenz-continuous divergence monotone under binary guessing games.
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Quantum steering in networks: Measurement-device-independent detection, continuous variables, and practical Gaussian schemes
Steering certification lifts to measurement-device-independent regime in networks using fiduciary states, with full bipartite CV characterization and Gaussian protocols.
-
Unitary Channel Testing Under a Depolarizing Noise Assumption
Optimal query algorithms for testing unitary channels under depolarizing noise yield Θ(1/ε) complexity with matching lower bounds even for adaptive ancilla-assisted protocols.
-
Forward-Assisted Purification: A Spatiotemporal Framework Beyond Conventional Limits
Introduces forward-assisted purification via a new spatiotemporal framework that outperforms conventional static purification by up to 50x in copy efficiency and circumvents no-purification theorems for Bell states.
-
Exact identification of unknown unitary processes
Optimal success probability for identifying one or two faulty unknown unitaries is independent of total device count, achieved via an ancillary-system protocol that allows independent testing.
-
Operational interpretation of the reverse sandwiched Renyi divergences in composite quantum hypothesis testing
In a composite quantum hypothesis testing scenario with dephasing, the reverse sandwiched Renyi divergence for alpha in (0,1) exactly determines the single-copy Hoeffding exponent.
-
Spectral versus interpolation norms in tracial nonassociative $\mathrm{L}^p$-spaces
The interpolation and spectral norms in tracial nonassociative L^p-spaces are equivalent but not isometric for p ≠ 2.
-
Accessible Quantum Correlations Under Complexity Constraints
Computational constraints exponentially suppress accessible entanglement for some highly entangled quantum states and can make mixed-state min-entropy appear maximal when the information-theoretic version is negative.
-
Retrocausal capacity of a quantum channel: Communicating through noisy closed timelike curves
For any quantum channel used as a noisy retrocausal link, the one-shot quantum and classical capacities are exactly given by the channel's max-information and Doeblin information.
-
Doubly minimized Petz and sandwiched Renyi mutual information: Properties
Proves additivity of doubly minimized Petz Renyi mutual information for alpha in [1/2,2] and a novel duality plus additivity for the sandwiched version for alpha in [2/3, infinity] via Sion's minimax theorem.
-
The contact temperature of arbitrary quantum states
Introduces a universal thermometer model defining a unique contact temperature β_op for any finite-dimensional quantum state as the inverse temperature where heat exchange with the system vanishes.
-
Local Diffusion Models and Phases of Data Distributions
The paper introduces a phase framework for data distributions connected by local denoisers and demonstrates that reverse diffusion consists of trivial and data phases separated by a transition where local score functions must fail, tied to spatial Markovianity.
-
Diagnosing chaos with projected ensembles of process tensors
Higher moments of the projected process ensemble reveal entanglement structures that distinguish chaotic from integrable dynamics more sharply than quantum dynamical or spatiotemporal entropies.
-
Semidefinite optimization of the quantum relative entropy of channels
Semidefinite optimization yields arbitrarily tight upper and lower bounds on the quantum relative entropy of channels via discretized linearization of an integral representation.
-
Bounds on quantum conference key agreement in pair-entangled networks
Upper bounds on distillable conference key in pair-entangled networks are derived depending on topology and entanglement, with tightness proven and optimality of pairwise distillation plus merging shown for specific cases.
-
Fully Quantum Computational Entropies
Authors introduce quantum computational min- and max-entropies with properties including data processing and chain rules, plus an operational link to bounded-circuit entanglement distillation.
- Asymptotic Limits of Entanglement Transmission
- A quantum entropy production operator