PROJECT TITLE :

High-Rate Quantum Low-Density Parity-Check Codes Assisted by Reliable Qubits

ABSTRACT:

Quantum error correction is an important building block for reliable quantum info processing. A challenging hurdle in the idea of quantum error correction is that it is considerably more difficult to style error-correcting codes with desirable properties for quantum data processing than for ancient digital Communications and computation. A typical obstacle to constructing a variety of sturdy quantum error-correcting codes is the difficult restrictions imposed on the structure of a code. Recently, promising solutions to the current drawback have been proposed in quantum information science, where in principle any binary linear code can be was a quantum error-correcting code by assuming a tiny range of reliable quantum bits. This paper studies how best to take advantage of these latest concepts to construct fascinating quantum error-correcting codes of very high info rate. Our ways exploit structured high-rate low-density parity-check codes offered in the classical domain and offer quantum analogues that inherit their characteristic low decoding complexity and high error correction performance even at moderate code lengths. Our approach to coming up with high-rate quantum error-correcting codes also permits for creating direct use of alternative major syndrome decoding strategies for linear codes, creating it doable to deal with a situation where promising quantum analogues of low-density parity-check codes are tough to seek out.