Quantum advantage in learning from experiments

HY Huang, M Broughton, J Cotler, S Chen, J Li… - Science, 2022 - science.org
Quantum technology promises to revolutionize how we learn about the physical world. An
experiment that processes quantum data with a quantum computer could have substantial …

The complexity of NISQ

S Chen, J Cotler, HY Huang, J Li - Nature Communications, 2023 - nature.com
The recent proliferation of NISQ devices has made it imperative to understand their power. In
this work, we define and study the complexity class NISQ, which encapsulates problems that …

Quantum algorithmic measurement

D Aharonov, J Cotler, XL Qi - Nature communications, 2022 - nature.com
There has been recent promising experimental and theoretical evidence that quantum
computational tools might enhance the precision and efficiency of physical experiments …

Quantum nuclear dynamics on a distributed set of ion-trap quantum computing systems

A Dwivedi, AJ Rasmusson, P Richerme… - Journal of the …, 2024 - ACS Publications
Quantum nuclear dynamics with wavepacket time evolution is classically intractable and
viewed as a promising avenue for quantum information processing. Here, we use IonQ …

Graph-|Q⟩⟨C|, a Graph-Based Quantum/Classical Algorithm for Efficient Electronic Structure on Hybrid Quantum/Classical Hardware Systems: Improved Quantum …

JH Zhang, SS Iyengar - Journal of Chemical Theory and …, 2022 - ACS Publications
We present a procedure to reduce the depth of quantum circuits and improve the accuracy of
results in computing post-Hartree–Fock electronic structure energies in large molecular …

Learning Quantum Circuits of Some T Gates

CY Lai, HC Cheng - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
In this paper, we study the problem of learning an unknown quantum circuit of a certain
structure. If the unknown target is an-qubit Clifford circuit, we devise an efficient algorithm to …

Graph-|Q⟩⟨C|: A Quantum Algorithm with Reduced Quantum Circuit Depth for Electronic Structure

SS Iyengar, JH Zhang, D Saha… - The Journal of Physical …, 2023 - ACS Publications
The accurate determination of chemical properties is known to have a critical impact on
multiple fundamental chemical problems but is deeply hindered by the steep algebraic …

Quantum complexity for discrete logarithms and related problems

M Hhan, T Yamakawa, A Yun - Annual International Cryptology …, 2024 - Springer
This paper studies the quantum computational complexity of the discrete logarithm (DL) and
related group-theoretic problems in the context of “generic algorithms”—that is, algorithms …

Resource Optimization for Quantum Dynamics with Tensor Networks: Quantum and Classical Algorithms

A Dwivedi, MA Lopez-Ruiz… - The Journal of Physical …, 2024 - ACS Publications
The exponential scaling of the quantum degrees of freedom with the size of the system is
one of the biggest challenges in computational chemistry and particularly in quantum …

Exact distributed quantum algorithm for generalized Simon's problem

H Li, D Qiu, L Luo, P Mateus - Acta Informatica, 2024 - Springer
Simon's problem is one of the most important problems demonstrating the power of quantum
algorithms, as it greatly inspired the proposal of Shor's algorithm. The generalized Simon's …