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Partial Trace of a Multiqubit System

Mark S. Tame
Organization: Queen's Quantum Technology Group
Department: Dept. of Applied Mathematics and Theoretical Physics
Revision date


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

*Science > Physics > Quantum Physics

Quantum Information, Density matrix, Trace, Partial Trace, Multi-qubit system, Multiqubit system, Qubit, Multi
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DensityTrace.nb (48 KB) - Mathematica Notebook [for Mathematica 5.0]