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Measurement-free code-switching for low overhead quantum computation using permutation invariant codes
Yingkai Ouyang, Yumang Jing, Gavin K. Brennen
Transversal gates on quantum error correction codes have been a promising approach for fault-tolerant quantum computing, but are limited by the Eastin-Knill no-go theorem. Existing…
Efficient Fault-Tolerant Quantum Protocol for Differential Privacy in the Shuffle Model
Hassan Jameel Asghar, Arghya Mukherjee, Gavin K. Brennen
We present a quantum protocol which securely and implicitly implements a random shuffle to realize differential privacy in the shuffle model. The shuffle model of differential priv…
Entanglement-enhanced quantum sensing via optimal global control with neutral atoms in a cavity
Vineesha Srivastava, Sven Jandura, Gavin K Brennen +1
We present a deterministic protocol for the preparation of entangled states in the symmetric Dicke subspace of spins coupled to a common cavity mode that prepares entangled sta…
Non-local resources for error correction in quantum LDPC codes
Omprakash Chandra, Gopikrishnan Muraleedharan, Gavin K. Brennen
Quantum low density parity check (qLDPC) codes are an attractive alternative to the surface code due to their relatively high code rate and distance. However, unlike the surface co…
Constructing the spin-1 Haldane phase on a qudit quantum processor
C. L. Edmunds, E. Rico, I. Arrazola +4
Symmetry-protected topological phases have fundamentally changed our understanding of quantum matter. An archetypal example of such a quantum phase of matter is the Haldane phase,…
Categorical Quantum Volume Operator
Alexander Hahn, Sebastian Murk, Sukhbinder Singh +1
We present a generalization of the quantum volume operator quantifying the volume in curved three-dimensional discrete geometries. In its standard form, the quantum volume operator…