Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Nathan Wiebe"'
Publikováno v:
PRX Quantum, Vol 5, Iss 4, p 040316 (2024)
Compared with time-independent Hamiltonians, the dynamics of generic quantum Hamiltonians H(t) are complicated by the presence of time ordering in the evolution operator. In the context of digital quantum simulation, this difficulty prevents a direct
Externí odkaz:
https://doaj.org/article/f784b328f648401f87be736f3b3ee442
Publikováno v:
npj Quantum Information, Vol 9, Iss 1, Pp 1-11 (2023)
Abstract Quantum simulations of lattice gauge theories (LGTs) are often formulated on an enlarged Hilbert space containing both physical and unphysical sectors in order to retain a local Hamiltonian. We provide simple fault-tolerant procedures that e
Externí odkaz:
https://doaj.org/article/b13832ac084046c3841b4b6c7d525297
Publikováno v:
npj Quantum Information, Vol 9, Iss 1, Pp 1-17 (2023)
Abstract We provide an approach for compiling quantum simulation circuits that appear in Trotter, qDRIFT and multi-product formulas to Clifford and non-Clifford operations that can reduce the number of non-Clifford operations. The total number of gat
Externí odkaz:
https://doaj.org/article/a295874f60e44b6d8e9e1d3695309278
Publikováno v:
Physical Review Research, Vol 6, Iss 1, p 013224 (2024)
Recent study has shown that it can be advantageous to implement a composite channel that partitions the Hamiltonian H for a given simulation problem into subsets A and B such that H=A+B, where the terms in A are simulated with a Trotter-Suzuki channe
Externí odkaz:
https://doaj.org/article/0a8af03cd5cb4386a23d3e1084c29ba0
Publikováno v:
Quantum, Vol 8, p 1266 (2024)
Quantum metrology allows for measuring properties of a quantum system at the optimal Heisenberg limit. However, when the relevant quantum states are prepared using digital Hamiltonian simulation, the accrued algorithmic errors will cause deviations f
Externí odkaz:
https://doaj.org/article/726e08189f2f4d4898133528dba1075c
Autor:
Dominic W. Berry, Yuan Su, Casper Gyurik, Robbie King, Joao Basso, Alexander Del Toro Barba, Abhishek Rajput, Nathan Wiebe, Vedran Dunjko, Ryan Babbush
Publikováno v:
PRX Quantum, Vol 5, Iss 1, p 010319 (2024)
Lloyd et al. [Nat. Commun. 7, 10138 (2016)] were first to demonstrate the promise of quantum algorithms for computing Betti numbers, a way to characterize topological features of data sets. Here, we propose, analyze, and optimize an improved quantum
Externí odkaz:
https://doaj.org/article/2d7debb8752f419096550b523d9f6c8d
Publikováno v:
Physical Review X, Vol 13, Iss 4, p 041041 (2023)
We present a quantum algorithm for simulating the classical dynamics of 2^{n} coupled oscillators (e.g., 2^{n} masses coupled by springs). Our approach leverages a mapping between the Schrödinger equation and Newton’s equation for harmonic potenti
Externí odkaz:
https://doaj.org/article/f8c8665b61264185a1362bda1ff9f5df
Publikováno v:
PLoS Computational Biology, Vol 19, Iss 4, p e1011033 (2023)
Protein design is a technique to engineer proteins by permuting amino acids in the sequence to obtain novel functionalities. However, exploring all possible combinations of amino acids is generally impossible due to the exponential growth of possibil
Externí odkaz:
https://doaj.org/article/d895d72c14004ca78d8615e2a4e97cf4
Autor:
Matthew Hagan, Nathan Wiebe
Publikováno v:
Quantum, Vol 7, p 1181 (2023)
In this paper we provide a framework for combining multiple quantum simulation methods, such as Trotter-Suzuki formulas and QDrift into a single Composite channel that builds upon older coalescing ideas for reducing gate counts. The central idea behi
Externí odkaz:
https://doaj.org/article/7b55b4e528dc4b77a416a149bd8b7a6e
Publikováno v:
Physical Review Research, Vol 5, Iss 2, p 023200 (2023)
This paper discusses quantum algorithms for the generator coordinate method (GCM) that can be used to benchmark molecular systems. The GCM formalism defined by exponential operators with exponents defined through generators of the fermionic U(N) Lie
Externí odkaz:
https://doaj.org/article/f202a6eb63104343b953ffd0bff54aeb