REVIEW 9 cited by
The Role of Relative Entropy in Quantum Information Theory
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
Quantum mechanics and information theory are among the most important scientific discoveries of the last century. Although these two areas initially developed separately it has emerged that they are in fact intimately related. In this review I will show how quantum information theory extends traditional information theory by exploring the limits imposed by quantum, rather than classical mechanics on information storage and transmission. The derivation of many key results uniquely differentiates this review from the "usual" presentation in that they are shown to follow logically from one crucial property of relative entropy. Within the review optimal bounds on the speed-up that quantum computers can achieve over their classical counter-parts are outlined using information theoretic arguments. In addition important implications of quantum information theory to thermodynamics and quantum measurement are intermittently discussed. A number of simple examples and derivations including quantum super-dense coding, quantum teleportation, Deutsch's and Grover's algorithms are also included.
Forward citations
Cited by 9 Pith papers
-
Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
In the Gravity from Entropy framework, spherically symmetric black holes acquire r^{-4} corrections to Schwarzschild geometry, with large-mass evaporation at constant rate -β/24 and intermediate-mass loss following th...
-
Relative entropy for $\lambda \phi^4$ in the Rindler wedge
Relative entropy of vacuum vs coherent state for λφ⁴ in the Rindler wedge equals the classical interacting boost charge to O(λ) and obeys the Bekenstein bound.
-
Quantifying Entanglement via Quantum Wasserstein Distances
Entanglement is quantified as the minimal order-1 quantum Wasserstein distance to the set of separable states, yielding a measure that obeys all axioms via the metric's data-processing inequality and supplies explicit...
-
Black hole thermodynamics at null infinity. Part 2: Open systems, Markovian dynamics and work extraction from non-rotating black holes
Null-infinity black hole thermodynamics is recast as Markovian open-system thermodynamics, with chemical-potential terms identified as extractable work and used to formulate generalized grand-potential laws for Schwar...
-
Entanglement Entropy of Quantum Corners
For a two-dimensional corner symmetry algebra, coherent corner states give an entanglement entropy that scales with the area when mapped to near-extremal Reissner-Nordström black holes.
-
Heat and work in black hole thermodynamics via holography
The paper derives first and second laws for composite black holes coupled through the boundary, with heat and work defined from boundary sources and bath energy flow.
-
Quantum Renyi relative entropies on a spin chain with interface defects
For a free-fermion chain with a hopping defect, the quantum Renyi relative entropies are expressed as a fitted formula that depends on the effective central charge and subsystem size.
-
Black hole thermodynamics at null infinity. Part 1: Dual Generalized Second Law
At future null infinity, the generalized second law for a Schwarzschild black hole becomes the monotonic decrease of a free energy, or grand potential, constructed from the Bondi mass and angular-mode chemical potentials.
-
Quantum Information-Theoretical Size Bounds for Conjunctive Queries with Functional Dependencies
Worst-case conjunctive query size bounds can be reformulated with quantum Rényi entropy, producing sound but generally non-tight upper bounds whose classical tight version is recovered only in the α→1 limit.
Discussion (0). Continue with ORCID to comment.