36 citations · 80 across the 9 of their papers we have counts for
9 papers
Magic State Distillation using Asymptotically Good Codes on Qudits
Michael J. Cervia, Henry Lamm, Diyi Liu +2
Qudits offer the potential for low-overhead magic state distillation, although previous results for asymptotically good codes have required qudit dimension or code lengt…
Quantum computation of mass gap in an asymptotically free theory
Paulo F. Bedaque, Edison M. Murairi, Gautam Rupak +1
In relativistic field theories, the mass spectrum is given by the difference between the energy of the vacuum and the excited states. Near the continuum limit, the cancellation bet…
Primitive Quantum Gates for an Discrete Subgroup:
Sebastian Osorio Perez, Edison M. Murairi, Erik J. Gustafson +1
We construct a primitive gate set for the digital quantum simulation of a discrete subgroup of : the 216-element . The necessary primitives are the inversion g…
Synthesis of Single Qutrit Circuits from Clifford+R
Erik J. Gustafson, Henry Lamm, Diyi Liu +2
We present two deterministic algorithms to approximate single-qutrit gates. These algorithms utilize the Clifford + group to find the best approximation of diagonal ro…
Highly-efficient quantum Fourier transformations for some nonabelian groups
Edison M. Murairi, M. Sohaib Alam, Henry Lamm +2
Quantum Fourier transformations are an essential component of many quantum algorithms, from prime factoring to quantum simulation. While the standard abelian QFT is well-studied, i…
Primitive Quantum Gates for an SU(3) Discrete Subgroup:
Erik J. Gustafson, Yao Ji, Henry Lamm +3
We construct the primitive gate set for the digital quantum simulation of the 108-element group. This is the first time a nonabelian crystal-like subgroup of …
Fuzzy gauge theory for quantum computers
Andrei Alexandru, Paulo F. Bedaque, Andrea Carosso +3
Continuous gauge theories, because of their bosonic degrees of freedom, have an infinite-dimensional local Hilbert space. Encoding these degrees of freedom on qubit-based hardware…
Reducing circuit depth with qubitwise diagonalization
Edison M. Murairi, Michael J. Cervia
A variety of quantum algorithms employ Pauli operators as a convenient basis for studying the spectrum or evolution of Hamiltonians or measuring multi-body observables. One strateg…
How many quantum gates do gauge theories require?
Edison M. Murairi, Michael J. Cervia, Hersh Kumar +2
We discuss the implementation of lattice gauge theories on digital quantum computers, focusing primarily on the number of quantum gates required to simulate their time evolution. W…