QuantumChannels

Navigation page for Blueprint/D5/S3/Quantum/QuantumChannels/ at upstream snapshot 880384c42100f2d04436d97c4ac862e91b4bba85.

Contents

• Amplitude-damping channels resist perfect measure-and-prepare cloning
• Robustness of ancilla-free testers
• Balanced five-mode terminal word rank
• The gcd-three equator formula fails at dimension six
• The single-pass butterfly fails the relative exterior-square two-design bound
• A qutrit obstruction to CP-filter equivalence with the channel transpose
• Controlled-rotation assemblages do not obey the proposed LOSR angle ordering
• Amending coherence-breaking iterates with one unitary
• Coherent discrimination bias is not a channel metric
• Concealment does not determine the adjoint kernel
• ConditionalTwoPositiveSpectralBound
• Pure covariant programs do not match the mixed dimension
• Infinitely many extreme classes in matrix D-majorization
• Elementary channel divisibility
• Entanglement-assisted communication value and the output dimension
• Optimality of the coefficient in the entanglement-breaking norm inequality
• The overlap-to-purity part of Kopel’s equality theorem
• FaithfulPerronRegularization
• A counterexample to Fan–Wu–Fei channel coherence domination
• Finite Record Cosine Obstruction
• FockAttenuator
• A product-state bound excludes parallel exponent one
• Heisenberg Channel Compression Equivalence
• Exact Riemannian contraction coefficients of a qubit CQ channel
• The minimum overlap of orthogonal channel inputs
• Equivalence of PPT-squared and IPT-squared
• Log-negativity capacity depends on the input resource
• The least trace-distance contraction coefficient over a classical channel
• The sharp fidelity bound for marginal process approximations
• The maximal index for arithmetic and geometric mean matrices
• Mayer zero fidelity and process fidelity
• Lindblad embeddability of the noisy Werner-Holevo channel
• Non-unital channel constraints imply the network bounds
• Real rectangular nuclear-norm additivity
• One ancillary qubit cannot give constant-round universal channel simulation
• A quantitative detector-rank horizon
• The original two-swap channel
• An explicit rate for the fixed control
• Entangled inputs violate output maximal coherence tensorization
• PhaseCovariantAttenuatorCoherentRefutation
• A qutrit obstruction to positive/CP factorization of the channel transpose
• Biased post-processed improvements are not faithful
• The Choi spectrum of unital product-unitary-equivariant maps
• Projective tests do not characterize channel compatibility
• A qubit pure-program obstruction
• Coherent compression of a positive orbit
• Pure targets prevent general square-root savings
• The Thue-Morse prefix 01101001 needs more than one qubit
• QubitWassersteinCouplings
• Unitary and doubly extreme decomposition of a qutrit channel
• Real Readouts and Complete Positivity
• Semi-nonnegative maps can exhibit information backflow
• SicKFidelity
• A Helly bound for classical signaling dimension
• Pure product inputs detect signalling through PDM negativity
• Complex sparse-probe coercivity
• Operational sparse-probe compression bound
• The k-positive region of the diagonal-perturbed Tomiyama maps
• TracePreservingEigenvalueBound
• Binomial and kappa states do not exhaust truncated entropy minimizers
• Overlapping pairs refute the twirling phase index formula
• Two involutions and homogeneous word rank
• TwoPositiveTransitionTrace
• WassersteinComplexityNonconvex