From the 1 of 7 linked papers with an AI index.
7 papers
Nuclear-Spin Statistical Weights from Young Diagrams
Eric Kubischta, Ian Teixeira
Nuclear-spin statistical weights and selection rules in molecular spectroscopy are governed by the permutation symmetry of identical nuclei, although rigid and semi-rigid molecules…
Time-Reversal Selection Rules for Quantum Error Correction
Eric Kubischta, Ian Teixeira
We apply time-reversal symmetry to quantum codes and show that it imposes parity selection rules on the physical error algebra. A time-reversal-invariant logical qubit on an odd nu…
Classical and Quantum MacWilliams Transforms as Spin Kinematics
Eric Kubischta, Ian Teixeira
The paper shows that MacWilliams transforms for both classical and quantum error‑correcting codes can be derived as spin‑kinematic operations, specifically as Wigner‑D rotations be…
Minimal Permutation-Invariant Qudit Codes from Edge-Colorings of Complete Graphs
Eric Kubischta, Ian Teixeira
We study permutation-invariant quantum codes in the symmetric subspace of qudits of local dimension . For every integer , we constru…
MacWilliams Identities for Intrinsic Quantum Codes
Eric Kubischta, Ian Teixeira
We develop an intrinsic enumerator framework for quantum error correction in unitary representations of symmetry groups. An intrinsic quantum code is a subspace of a representation…
Intrinsic Quantum Codes
Eric Kubischta, Ian Teixeira
We introduce an intrinsic formulation of quantum error correction based on representation theory, in which error-protection structure is encoded directly in a unitary group represe…