Optimal two-mode bosonic loss codes from finite group symmetry

arXiv:2610.00561 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Entanglement — 37× in this paper · explained in 3 episodes
• Fidelity — 34× in this paper · explained in 2 episodes
• Wigner function — 8× in this paper · explained in 2 episodes
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Verification — 5× in this paper · explained in 2 episodes
• Embeddings — 3× in this paper · explained in 2 episodes
• Alignment — 2× in this paper · explained in 1 episode
• Redundancy — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes

Sources

• Multispin Clifford codes for angular momentum errors in spin systems
• Permutationally Invariant Codes for Quantum Error Correction
• Quantum Codes from Twisted Unitary $t$-groups
• Intrinsic Quantum Codes
• Symmetry-Based Quantum Codes Beyond the Pauli Group
• Codes in W\ast-metric Spaces: Theory and Examples
• A Quantum Analog of Delsarte's Linear Programming Bounds
• MacWilliams Identities for Intrinsic Quantum Codes
• Permutation-invariant codes: a numerical study and qudit constructions
• Bosonic Cyclic Codes: Trading Stabilizers for Gaussian Non-Clifford Phase Gates

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