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Search Publications by: Michael Gullans (Fed)

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Displaying 1 - 25 of 61

Dynamically generated concatenated codes and their phase diagrams

April 24, 2025
Author(s)
Grace Sommers, David Huse, Michael 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 node, a binary tree circuit encodes a single logical qubit with code distance

Scalable and fault-tolerant preparation of encoded k-uniform states

March 18, 2025
Author(s)
Shayan Majidy, Madelyn Cain, Nishad Maskara, Dominik Hangleiter, Michael Gullans
k-uniform states are valuable resources in quantum information, enabling tasks such as teleporta- tion, error correction, and accelerated quantum simulations. However, verifying k-uniformity is as difficult as measuring code distances, and devising fault

Fault-tolerant quantum memory using low-depth random circuit codes

January 10, 2025
Author(s)
Jon Nelson, Gregory Bentsen, Steven Flammia, Michael Gullans
Low-depth random circuit codes possess many desirable properties for quantum error correction but have so far only been analyzed in the code capacity setting where it is assumed that encoding gates and syndrome measurements are noiseless. In this work, we

Data needs and challenges for quantum dot devices automation

October 31, 2024
Author(s)
Justyna Zwolak, Jacob Taylor, Reed Andrews, Jared Benson, Garnett Bryant, Donovan Buterakos, Anasua Chatterjee, Sankar Das Sarma, Mark Eriksson, Eliska Greplova, Michael Gullans, Fabian Hader, Tyler Kovach, Pranav S. Mundada, Mick Ramsey, Torbjoern Rasmussen, Brandon Severin, Anthony Sigillito, Brennan Undseth, Brian Weber
Gate-defined quantum dots are a promising candidate system for realizing scalable, coupled qubit systems and serving as a fundamental building block for quantum computers. However, present-day quantum dot devices suffer from imperfections that must be

Phase transition in magic with random quantum circuits

September 23, 2024
Author(s)
Michael Gullans
Maic is a resource that enables quantum computation and quantifies the efficacy of a quantum state for universal fault-tolerant quantum computing. Understanding the mechanisms by which magic is created or destroyed is, therefore, a crucial step towards

Quantum Sensing with Erasure Qubits

August 19, 2024
Author(s)
Pradeep Niroula, Jack Dolde, Xin Zheng, Jacob Bringewatt, Adam Ehrenberg, Kevin Cox, Jeff Thompson, Michael Gullans, Shimon Kolkowitz, Alexey Gorshkov

Zero-temperature entanglement membranes in quantum circuits

August 13, 2024
Author(s)
Grace Sommers, Sarang Gopalakrishnan, Michael Gullans, David Huse
In chaotic quantum systems, the entanglement of a region A can be described in terms of the surface tension of a spacetime membrane pinned to the boundary of A. Here, we interpret the tension of this "entanglement membrane" in terms of the rate at which

Quantum Lego Expansion Pack: Enumerators from Tensor Networks

July 22, 2024
Author(s)
ChunJun Cao, Michael Gullans, Brad Lackey, Zitao Wang
We provide the first tensor network method for computing quantum weight enumerator polynomials in the most general form. As a corollary, if a quantum code has a known tensor network construction of its encoding map, our method produces an algorithm that

Bell Sampling from Quantum Circuits

July 8, 2024
Author(s)
Dominik Hangleiter, Michael Gullans
A central challenge in the verification of quantum computers is benchmarking their performance as a whole and demonstrating their computational capabilities. In this work, we find a model of quantum computation, Bell sampling, that can be used for both of

Clifford-Deformed Surface Codes

March 19, 2024
Author(s)
Arpit Dua, Aleksander Kubica, Liang Jiang, Steven Flammia, Michael Gullans
Kitaev's toric/surface code and its numerous variants provide promising approaches to practi- cal quantum error correction (QEC). As recently discovered, a careful choice of the code variant and lattice layout can dramatically reduce logical error rate for

Precision Bounds on Continuous-Variable State Tomography Using Classical Shadows

March 18, 2024
Author(s)
Srilekha Gandhari, Victor Albert, Thomas Gerrits, Jacob Taylor, Michael Gullans
Shadow tomography is a framework for constructing succinct descriptions of quantum states, called classical shadows, with powerful methods to bound the estimators used. Classical shadows are well-studied in the discrete-variable case, which consists of sta

Logical quantum processor based on reconfigurable atom arrays

December 6, 2023
Author(s)
Dolev Bluvstein, Simon Evered, Alexandra Geim, Sophie Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, J. Pablo Bonilla Ataides, Nishad Maskara, Iris Cong, Xun Gao, Pedro Rodriguez, Thomas Karolyshyn, Giulia Semeghini, Michael Gullans, Markus Greiner, Vladan Vuletic, Mikahil Lukin
Suppressing errors is the central challenge for useful quantum computing and quantum error correction is believed to be the key to large-scale quantum processing. Here we report the realization of a programmable quantum processor based on encoded logical

Crystalline Quantum Circuits

July 31, 2023
Author(s)
Grace Sommers, David Huse, Michael Gullans
Random quantum circuits continue to inspire a wide range of applications in quantum information science, while remaining analytically tractable through probabilistic methods. Motivated by the need for deterministic circuits with similar applications, we

Compressed gate characterization for quantum devices with time-correlated noise

July 22, 2023
Author(s)
Michael Gullans, Miguel Caranti, Adam Mills, Jason Petta
As quantum devices make steady progress towards intermediate scale and fault-tolerant quantum computing, it is essential to develop rigorous and efficient measurement protocols that account for known sources of noise in each architecture. Most existing

Infinite-randomness criticality in monitored quantum dynamics with static disorder

June 23, 2023
Author(s)
Aidan Zabalo, Justin Wilson, Michael Gullans, Romain Vasseur, Sarang Goplakrishnan, David Huse, Jed Pixley
We consider a model of monitored quantum dynamics with quenched spatial randomness: specifically, random quantum circuits with spatially varying measurement rates. These circuits undergo a measurement-induced phase transition (MIPT) in their entanglement

Neural-network decoders for measurement induced phase transitions

May 22, 2023
Author(s)
Hossein Dehghani, Ali Lavasani, Mohammad Hafezi, Michael Gullans
Open quantum systems have been shown to host a plethora of exotic dynamical phases. Measurement-induced entanglement phase transitions in monitored quantum systems are a striking example of this phenomena. However, naive realizations of such phase

Self-dual quasiperiodic percolation

February 27, 2023
Author(s)
Grace Sommers, Michael Gullans, David Huse
How does the percolation transition behave in the absence of quenched randomness? To address this question, we study a nonrandom self-dual quasiperiodic model of square-lattice bond percolation. Through a numerical study of cluster sizes and wrapping

Tight Bounds on the Convergence of Noisy Random Circuits to the Uniform Distribution

December 16, 2022
Author(s)
Michael Gullans, Abhinav Deshpande, Bill Fefferman, Alexey Gorshkov, Pradeep Niroula, Oles Shtanko
We study the properties of output distributions of noisy, random circuits. We obtain upper and lower bounds on the expected distance of the output distribution from the uniform distribution. These bounds are tight with respect to the dependence on circuit