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Partial Trace of a MultiquDit System

Mark Tame
Organization: University of KwaZulu-Natal
Department: School of Chemistry and Physics
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For many situations in Quantum Information Theory it is necessary to trace out a subgroup of quDits from a larger group. For example, suppose Alice, Bob and Charlie each have a quDit with the total system described by a density matrix. If we would like to examine more closely the subsystem of quDits shared by just Alice and Bob we need to take the trace. However for large multi-quDit systems, calculating this by hand becomes quite unmanageable. What the dTraceSystem function does, is allow you to trace out an arbitrary number of quDits from a large system of N-quDits by getting Mathematica to do the work for you.

*Applied Mathematics > Information Theory
*Science > Physics > Quantum Physics

Quantum Information, Density matrix, Trace, Partial Trace, Multi-quDit system, MultiquDit system, QuDit, Multi
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Qudit_DensityTrace.nb (855.2 KB) - Mathematica Notebook