![]() We present an explicit approximate quantum error recovery operation based on projective measurements and unitary operations. For realistic continuous-time dissipative evolution, the codes can perform approximate quantum error correction to any given order in the timestep between error detection measurements. ![]() The binomial codes can exactly correct errors that are polynomial up to a specific degree in bosonic creation and annihilation operators, including amplitude damping and displacement noise as well as boson addition and dephasing errors. These 'binomial quantum codes' are formed from a finite superposition of Fock states weighted with binomial coefficients. We construct a new class of quantum error-correcting codes for a bosonic mode which are advantageous for applications in quantum memories, communication, and scalable computation.
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