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Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements
Zihan Cheng, Eric Huang, Vedika Khemani +2
Unitary -designs are distributions of unitary gates that match the Haar distribution up to its -th statistical moment. They are a crucial resource for randomized quantum prot…
Optimal Routing Protocols for Reconfigurable Atom Arrays
Nathan Constantinides, Ali Fahimniya, Dhruv Devulapalli +5
Neutral atom arrays have emerged as a promising platform for both analog and digital quantum processing. Recently, devices capable of reconfiguring arrays during quantum processes…
On the complexity of sampling from shallow Brownian circuits
Gregory Bentsen, Bill Fefferman, Soumik Ghosh +2
While many statistical properties of deep random quantum circuits can be deduced, often rigorously and other times heuristically, by an approximation to global Haar-random unitarie…
Fault-tolerant fermionic quantum computing
Alexander Schuckert, Eleanor Crane, Alexey V. Gorshkov +2
Simulating the dynamics of electrons and other fermionic particles in quantum chemistry, materials science, and high-energy physics is one of the most promising applications of fau…
Polynomial-Time Classical Simulation of Noisy Quantum Circuits with Naturally Fault-Tolerant Gates
Jon Nelson, Joel Rajakumar, Dominik Hangleiter +1
We construct a polynomial-time classical algorithm that samples from the output distribution of noisy geometrically local Clifford circuits with any product-state input and single-…
Electrical Interconnects for Silicon Spin Qubits
Christopher David White, Anthony Sigillito, Michael J. Gullans
Scalable spin qubit devices will likely require long-range qubit interconnects. We propose to create such an interconnect with a resistive topgate. The topgate is positively biased…
Dynamically generated concatenated codes and their phase diagrams
Grace M. Sommers, David A. Huse, Michael J. Gullans
We formulate code concatenation as the action of a unitary quantum circuit on an expanding tree geometry and find that for certain classes of gates, applied identically at each nod…
Analog Quantum Simulator of a Quantum Field Theory with Fermion-Spin Systems in Silicon
Ali Rad, Alexander Schuckert, Eleanor Crane +7
Simulating fermions coupled to spin degrees of freedom, relevant for a range of quantum field theories, represents a promising application for quantum simulators. Mapping fermions…
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…
Fault-tolerant compiling of classically hard IQP circuits on hypercubes
Dominik Hangleiter, Marcin Kalinowski, Dolev Bluvstein +6
Realizing computationally complex quantum circuits in the presence of noise and imperfections is a challenging task. While fault-tolerant quantum computing provides a route to redu…
Toward a 2D Local Implementation of Quantum LDPC Codes
Noah Berthusen, Dhruv Devulapalli, Eddie Schoute +4
Geometric locality is an important theoretical and practical factor for quantum low-density parity-check (qLDPC) codes which affects code performance and ease of physical realizati…
Zero-temperature entanglement membranes in quantum circuits
Grace M. Sommers, Sarang Gopalakrishnan, Michael J. Gullans +1
In chaotic quantum systems, the entanglement of a region can be described in terms of the surface tension of a spacetime membrane pinned to the boundary of . Here, we interp…