State-adaptive quantum error correction and fault-tolerant quantum computing
arXiv:2508.06011 · doi:10.1103/3z8s-jh28
Abstract
We present a theoretical framework for state-adaptive quantum error correction that bridges the gap between quantum computing and error correction paradigms. By incorporating knowledge of quantum states into the error correction process, we establish a new capacity regime governed by quantum mutual information rather than coherent information. This approach reveals a fundamental connection to entanglement-assisted protocols. We demonstrate practical applications in fault-tolerant quantum computation, showing how state-adaptivity enables enhanced error correction without additional measurement overhead. The framework provides insights into quantum channel capacities while offering implementation advantages for current quantum computing platforms.
References in corpus (26)
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- Resource-efficient linear optical quantum computation
- Restrictions on Transversal Encoded Quantum Gate Sets
- Quantum Circuits Architecture
- Quantum Communication With Zero-Capacity Channels
- Universal fault-tolerant quantum computation with only transversal gates and error correction
- A decoupling approach to the quantum capacity
- Fault-tolerant conversion between the Steane and Reed-Muller quantum codes
- Degenerate Quantum Codes for Pauli Channels
- General conditions for approximate quantum error correction and near-optimal recovery channels
- Codeword Stabilized Quantum Codes
- Finite blocklength converse bounds for quantum channels
- A simple approach to approximate quantum error correction based on the transpose channel
- On the power of PPT-preserving and non-signalling codes
- Quantum algorithm for Petz recovery channels and pretty good measurements
- Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit
- Semidefinite programming converse bounds for quantum communication
- Approximate quantum error correction, random codes, and quantum channel capacity
- A Family of Quantum Codes with Exotic Transversal Gates
- Rewiring Stabilizer Codes
- A decoupling approach to classical data transmission over quantum channels
- The Near-optimal Performance of Quantum Error Correction Codes
- Quasi-exact quantum computation
- A comparative study of universal quantum computing models: towards a physical unification
- On the Duality of Teleportation and Dense Coding
- Quantum resource theory of coding for error correction