Quantum low-density parity-check (LDPC) codes are an important class of quantum error
correcting codes. In such codes, each qubit only affects a constant number of syndrome bits …

Open quantum systems is the study of quantum dynamics of the system of interest, taking
into account the effects of the ambient environment. It is ubiquitous in the sense that any …

Entanglement-assisted concatenated quantum codes (EACQCs), constructed by
concatenating two quantum codes, are proposed. These EACQCs show significant …

Quantum error correction has recently been shown to benefit greatly from specific physical
encodings of the code qubits. In particular, several researchers have considered the …

We present analytic estimates of the performances of various approximate quantum error-
correction schemes for the generalized amplitude-damping (GAD) qubit channel …

Quantum error correction requires the use of error syndromes derived from measurements
that may be unreliable. Recently, quantum data-syndrome (QDS) codes have been …

The tradeoff between the quantum coding rate and the associated error correction capability
is characterized by the quantum coding bounds. The unique solution for this tradeoff does …

The theory of entanglement-assisted quantum error-correcting codes (EAQECCs) is a
generalization of the standard stabilizer formalism. Any quaternary (or binary) linear code …

Quantum error correcting code (QECC) with encoding and decoding circuits having low gate
count, is an important criterion for realizing quantum computing systems. CSS QECCs are …

We introduce a quantum packing bound on the minimal resources required by
nondegenerate error-correction codes for any kind of noise. We prove that degenerate …