The Schmidt coefficients of a vector in a tensor product are the nonnegative coefficients
in its Schmidt
decomposition. They are the singular values
of the coefficient matrix and are uniquely
determined up to order. For a normalized vector,
The number of nonzero Schmidt coefficients is the Schmidt
rank.
See also
Coefficient Matrix,
Schmidt Decomposition,
Schmidt Rank,
Singular
Value,
Tensor Product,
Vector
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References
Nielsen, M. and Chuang, I. Quantum Computation and Quantum Information. Cambridge, England: Cambridge University
Press, 2000.
Cite this as:
Weisstein, Eric W. "Schmidt Coefficients."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SchmidtCoefficients.html
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