trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Operational sparse-probe compression bound

Every finite classical-quantum port incurs a uniform two-setting total-variation error when its quantum block is smaller than the input dimension.

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sparse_probe_port_bound

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Finite Reference Channel DistanceFinite Reference ChannelDistanceFinite Kraus Quantum ChannelsFinite Kraus Quantum ChannelsComplex sparse-probe coercivityComplex sparse-probe coercivityFinite Total Variation and Pinsker's InequalityFinite Total Variation andPinsker's InequalityOperational sparse-probe compression boundOperational sparse-probecompression bound
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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/QuantumChannels/SparseProbePortBound
Repository path
D5/S3/Quantum/QuantumChannels/SparseProbePortBound.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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