Physics – Quantum Physics
Scientific paper
2012-04-02
Physics
Quantum Physics
15 pages, 12 figures
Scientific paper
The scheme of entanglement-assisted quantum error-correcting (EAQEC) codes assumes that the ebits of the receiver are error-free. In practical situations, errors on these ebits are unavoidable, which diminishes the error-correcting ability of these codes. We consider two different versions of this problem. We first show that any (nondegenerate) standard stabilizer code can be transformed into an EAQEC code that can correct errors on the qubits of both sender and receiver. These EAQEC codes are equivalent to standard stabilizer codes, and hence the decoding techniques of standard stabilizer codes can be applied. Several EAQEC codes of this type are found to be optimal. In a second scheme, the receiver uses a standard stabilizer code to protect the ebits, which we call a "combination code." The performances of different quantum codes are compared in terms of the channel fidelity over the depolarizing channel. We give a formula for the channel fidelity over the depolarizing channel (or any Pauli error channel), and show that it can be efficiently approximated by a Monte Carlo calculation. Finally, we discuss the tradeoff between performing extra entanglement distillation and applying an EAQEC code with imperfect ebits.
Brun Todd A.
Lai Ching-Yi
No associations
LandOfFree
Entanglement-Assisted Quantum Error-Correcting Codes with Imperfect Ebits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Entanglement-Assisted Quantum Error-Correcting Codes with Imperfect Ebits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entanglement-Assisted Quantum Error-Correcting Codes with Imperfect Ebits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-509248