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Quantum data processing and error correction
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This paper investigates properties of noisy quantum information channels. We define a new quantity called {\em coherent information} which measures the amount of quantum information conveyed in the noisy channel. This quantity can never be increased by quantum information processing, and it yields a simple necessary and sufficient condition for the existence of perfect quantum error correction.
Forward citations
Cited by 4 Pith papers
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Approximate Quantum Error Correction at Chiral Topological Edges
Chiral edge codes have local-erasure robustness governed by power-law exponents with hierarchy γ≥α≥min{α,β}, so the 2D code is at least as robust as its 1D CFT reduction.
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Entanglement spreading and emergent locality in Brownian SYK chains
In a Brownian SYK chain at strong coupling, information from an injected qudit spreads inside a sharp light-cone at the butterfly velocity because the governing dynamics reduce to FKPP domain walls.
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Certified boundary-magic witness for state-dependent proto-area in a holographic code
Only matter-controlled bond motion yields state-dependent proto-area in a four-qubit holographic code, and a projected stabilizer-Rényi quadratic witness certifies it while total magic does not.
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Delay-Independent Stability of Nonlinear Delay Differential Equations via Isospectral Reduction
Claims a delay-independent global exponential stability criterion for a broad class of nonlinear nonautonomous delay differential equations using isospectral reduction of an associated sequence of matrices.
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