Quantum error correction using weak measurements
arXiv:1707.08865 · doi:10.1007/s11128-018-2166-5
Abstract
The standard quantum error correction protocols use projective measurements to extract the error syndromes from the encoded states. We consider the more general scenario of weak measurements, where only partial information about the error syndrome can be extracted from the encoded state. We construct a feedback protocol that probabilistically corrects the error based on the extracted information. Using numerical simulations of one-qubit error correction codes, we show that our error correction succeeds for a range of the weak measurement strength, where (a) the error rate is below the threshold beyond which multiple errors dominate, and (b) the error rate is less than the rate at which weak measurement extracts information. It is also obvious that error correction with too small a measurement strength should be avoided.
9 pages, 7 figures
References in corpus (5)
- State preservation by repetitive error detection in a superconducting quantum circuit
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
- Demonstrating a Driven Reset Protocol of a Superconducting Qubit
- Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis