8 citations · 13 across the 5 of their papers we have counts for
7 papers
Qubit CSS codes with Universal Transversal Gates
Arpit Dua, Adam Holmes, Michael J. Gullans +1
The Eastin-Knill theorem rules out a universal set of transversal logical gates on any code that detects single-qubit errors. The theorem constrains one partition of the qubits at…
Quantum codes in the Lee metric
Jinkang Guo, Yiqiu Han, Aranya Chakraborty +4
We introduce a quantum coding framework for discrete small-shift noise, in which errors on qudits are modeled as low-weight - and -type Pauli shifts, analogous to small phase…
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…
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…
On stability of k-local quantum phases of matter
Ali Lavasani, Michael J. Gullans, Victor V. Albert +1
The current theoretical framework for topological phases of matter is based on the thermodynamic limit of a system with geometrically local interactions. A natural question is to w…
Quantum theory of molecular orientation
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…