Simulating quantum operations with mixed environments

Barbara M. Terhal, Isaac L. Chuang, David P. DiVincenzo, Markus Grassl, John A. Smolin

Research output: Contribution to journalArticleScientificpeer-review

30 Citations (Scopus)


We study the physical quantum resources required to implement general quantum operations, and provide bounds on the minimum possible size which an environment must be in order to perform certain quantum operations. We prove that contrary to a previous conjecture, not all quantum operations on a single qubit can be implemented with a single-qubit environment, even if that environment is initially prepared in a mixed state. We show that a mixed single-qutrit environment is sufficient to implement a special class of operations, the generalized depolarizing channels.

Original languageEnglish
Pages (from-to)881-885
Number of pages5
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
Publication statusPublished - 1999
Externally publishedYes


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