4 papers
Beyond transversality: structure of Clifford circuits for CSS codes
Victor V. Albert
We characterize four groups of Clifford circuits for Calderbank--Shor--Steane (CSS) codes that are relevant to fault-tolerant logical operations. First, we show that every code-pre…
Quantum theory of molecular orientations
Victor V. Albert, Eric Kubischta, Mikhail Lemeshko +1
We formulate a quantum phase space for rotational and nuclear-spin states of rigid molecules. For each nuclear spin isomer, we re-derive the isomer's admissible angular momentum st…
Covariant Quantum Error-Correcting Codes with Metrological Entanglement Advantage
Cheng-Ju Lin, Zi-Wen Liu, Victor V. Albert +1
We show that a subset of the basis for the irreducible representations of a tensor-product SU(2) rotation forms a covariant approximate quantum error-correcting code with transvers…
Transversal Clifford and T-gate codes of short length and high distance
Shubham P. Jain, Victor V. Albert
The non-local interactions in several quantum device architectures allow for the realization of more compact quantum encodings while retaining the same degree of protection against…