Zobrazeno 1 - 10
of 95
pro vyhledávání: '"ANDREW M. CHILDS"'
Publikováno v:
Physical Review Research, Vol 6, Iss 3, p 033313 (2024)
We study the problem of implementing arbitrary permutations of qubits under interaction constraints in quantum systems that allow for arbitrarily fast local operations and classical communication (LOCC). In particular, we show examples of speedups ov
Externí odkaz:
https://doaj.org/article/7e682a089dc847e1af4b0958273c9756
Autor:
Andrew Y. Guo, Abhinav Deshpande, Su-Kuan Chu, Zachary Eldredge, Przemyslaw Bienias, Dhruv Devulapalli, Yuan Su, Andrew M. Childs, Alexey V. Gorshkov
Publikováno v:
Physical Review Research, Vol 4, Iss 4, p L042016 (2022)
The standard circuit model for quantum computation presumes the ability to directly perform gates between arbitrary pairs of qubits, which is unlikely to be practical for large-scale experiments. Power-law interactions with strength decaying as 1/r^{
Externí odkaz:
https://doaj.org/article/95b24e2d24d0498f88cffb6fcb939934
Publikováno v:
Physical Review Research, Vol 4, Iss 1, p L012023 (2022)
We propose a time-independent Hamiltonian protocol for the reversal of qubit ordering in a chain of N spins. Our protocol has an easily implementable nearest-neighbor, transverse-field Ising model Hamiltonian with time-independent, nonuniform couplin
Externí odkaz:
https://doaj.org/article/3bb16cd8e05c40fd9762218a757adebc
Publikováno v:
PRX Quantum, Vol 4, Iss 1, p 010313 (2023)
The swap gate is a ubiquitous tool for moving information on quantum hardware, yet it can be considered a classical operation because it does not entangle product states. Genuinely quantum operations could outperform swap for the task of permuting qu
Externí odkaz:
https://doaj.org/article/ff07bcc427bc44b1a4b1d52f14fa7af6
Publikováno v:
Quantum, Vol 6, p 860 (2022)
Quantum simulation is a prominent application of quantum computers. While there is extensive previous work on simulating finite-dimensional systems, less is known about quantum algorithms for real-space dynamics. We conduct a systematic study of such
Externí odkaz:
https://doaj.org/article/9a17bef1639a43c985957a582ac8a389
Publikováno v:
Physical Review Research, Vol 4, Iss 1, p 013191 (2022)
We construct product formulas for exponentials of commutators and explore their applications. First, we directly construct a third-order product formula with six exponentials by solving polynomial equations obtained using the operator differential me
Externí odkaz:
https://doaj.org/article/555f39722f77418e96fde0bc4db30af7
Publikováno v:
npj Quantum Information, Vol 4, Iss 1, Pp 1-12 (2018)
Quantum computation: optimizing quantum circuits A new software tool significantly reduces the size of arbitrary quantum circuits, automatically optimizing the number of gates required for running algorithms. Yunseong Nam and colleagues from the Univ
Externí odkaz:
https://doaj.org/article/db98af5e361345b4b60bf97577dc99cb
Publikováno v:
Quantum, Vol 5, p 574 (2021)
Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description. However, while high-precision quantum algorithms for linear or
Externí odkaz:
https://doaj.org/article/fd5b1323d391416f8b295dc5981b37d7
Autor:
Aniruddha Bapat, Andrew M. Childs, Alexey V. Gorshkov, Samuel King, Eddie Schoute, Hrishee Shastri
Publikováno v:
Quantum, Vol 5, p 533 (2021)
We present methods for implementing arbitrary permutations of qubits under interaction constraints. Our protocols make use of previous methods for rapidly reversing the order of qubits along a path. Given nearest-neighbor interactions on a path of le
Externí odkaz:
https://doaj.org/article/d39580091eca4c418db65f4134a7414b
Publikováno v:
Physical Review X, Vol 11, Iss 1, p 011020 (2021)
The Lie-Trotter formula, together with its higher-order generalizations, provides a direct approach to decomposing the exponential of a sum of operators. Despite significant effort, the error scaling of such product formulas remains poorly understood
Externí odkaz:
https://doaj.org/article/0f379eec97814cbbbfe28873fb53ab68