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arXiv · quant-ph/9603009

Schumacher's quantum data compression as a quantum computation

Richard Cleve·David P. DiVincenzo
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Abstract

An explicit algorithm for performing Schumacher's noiseless compression of quantum bits is given. This algorithm is based on a combinatorial expression for a particular bijection among binary strings. The algorithm, which adheres to the rules of reversible programming, is expressed in a high-level pseudocode language. It is implemented using $O(n^3)$ two- and three-bit primitive reversible operations, where $n$ is the length of the qubit strings to be compressed. Also, the algorithm makes use of $O(n)$ auxiliary qubits; however, space-saving techniques based on those proposed by Bennett are developed which reduce this workspace to $O(\sqrt{n})$ while increasing the running time by less than a factor of two.

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Richard Cleve, David P. DiVincenzo. 1996-03-07. Schumacher's quantum data compression as a quantum computation. https://doi.org/10.1103/physreva.54.2636

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