Bounding Fault-Tolerant Thresholds for Purification and Quantum Computation

• Published in: arXiv.org
• Main Author: Kay, Alastair
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 20.05.2008
• Subjects: Error correcting codes; Error correction; Error correction & detection; Error detection; Fault tolerance; Physics - Quantum Physics; Purification; Quantum computers; Quantum theory; Qubits (quantum computing)

In this paper, we place bounds on when it is impossible to purify a noisy two-qubit state if all the gates used in the purification protocol are subject to adversarial local, independent, noise. It is found that the gate operations must be subject to less than 5.3% error. An existing proof that puri...