Single-shot state preparation threshold: rigorous theorem and statistical mechanical mapping
quant-ph
Submitted: 2026-09-30
Updated: 2026-10-01
Terminology
Sources
- Stabilizer Codes and Quantum Error Correction
- Fault Tolerant Quantum Computation with Constant Error
- Topological quantum memory
- Fault-tolerant quantum computation by anyons
- Fault-Tolerant Quantum Computation with Constant Overhead
- Constant overhead quantum fault-tolerance with quantum expander codes
- Fiber Bundle Codes: Breaking the $N^{1/2} \operatorname{polylog}(N)$ Barrier for Quantum LDPC Codes
- Asymptotically Good Quantum and Locally Testable Classical LDPC Codes
- Quantum Tanner codes
- Good Quantum LDPC Codes with Linear Time Decoders
- A theory of single-shot error correction for adversarial noise
- Batched high-rate logical operations for quantum LDPC codes
- On fault tolerant single-shot logical state preparation and robust long-range entanglement
- Single-Shot Universality in Quantum LDPC Codes via Code-Switching
- Constant-Overhead Addressable Gates via Single-Shot Code Switching
- Asymptotically Good Quantum Locally Testable Codes
- Parallelizable and addressable transversal non-Clifford gates on good quantum LDPC codes
- Explicit Constructions of Ramanujan Complexes of Type $\tilde{A}_d$
- Decodable quantum LDPC codes beyond the $\sqrt{n}$ distance barrier using high dimensional expanders
- Bounded Degree Cosystolic Expanders of Every Dimension
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