Entanglement-assisted codeword stabilized quantum codes with imperfect ebits

TL;DR

This paper introduces a novel entanglement-assisted quantum error correcting code that effectively corrects errors on both communication ends using fewer qubits by leveraging the properties of nonadditive codes and imperfect ebits.

Contribution

It proposes a new nonadditive EACWS QECC capable of correcting errors on both sides with imperfect ebits, improving logical codeword capacity without increasing physical qubits.

Findings

Enhanced error correction with imperfect ebits

Greater number of logical codewords achieved

Effective on both sender and receiver sides

Abstract

Quantum error correcting codes (QECCs) in quantum communi- cation systems has been known to exhibit improved performance with the use of error-free entanglement bits (ebits). In practical situations, ebits inevitably suffer from errors, and as a result, the error-correcting capability of the code is diminished. Prior studies have proposed two different schemes as a solu- tion. One uses only one QECC to correct errors on the receiver's side (i.e., Bob) and on the sender's side (i.e., Alice). The other uses different QECCs on each side. In this paper, we present a method to correct errors on both sides by using single nonadditive Entanglement-assisted codeword stabilized quantum error correcting code(EACWS QECC). We use the property that the number of effective error patterns decreases as much as the number of ebits. This property results in a greater number of logical codewords using the same number of physical qubits.