Classical simulation of dissipative fermionic linear optics

Sergey Bravyi, Robert König

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Fermionic linear optics is a limited form of quantum computation which is known to be efficiently simulable on a classical computer. We revisit and extend this result by enlarging the set of available computational gates: in addition to unitaries and measurements, we allow dissipative evolution governed by a Markovian master equation with linear Lindblad operators. We show that this more general form of fermionic computation is also simu- lable efficiently by classical means. Given a system of N fermionic modes, our algorithm simulates any such gate in time O(N3) while a single-mode measurement is simulated in time O(N2). The steady state of the Lindblad equation can be computed in time O(N3).

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalQuantum Information and Computation
Issue number11-12
StatePublished - 2012
Externally publishedYes


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