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Live trends in quantum computing research, updated daily from arXiv.
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Lindbladian Simulation with Logarithmic Precision Scaling via Two Ancillas.
Wenjun Yu, Xiaogang Li, Qi Zhao +1 more·Dec 30, 2024
Quantum computers promise efficient simulation of Lindbladian dynamics in open quantum systems, with broad applications in quantum chemistry, quantum error correction, and quantum state preparation. However, simulating open systems is more challengin...
Enhanced Two-Way Teleportation of Entangled States with Six-Qubit Cluster State
R. Vedhanayagi, Soubhik De, A. BasherrudinMahmudAhmed +1 more·Dec 30, 2024
This work presents a two-way teleportation protocol for the transfer of an unknown two-qubit quantum state between two parties Alice and Bob, utilizing a six-qubit cluster state. This bidirectional exchange is achieved by performing Bell measurements...
GroverGPT: A Large Language Model with 8 Billion Parameters for Quantum Searching
Haoran Wang, Pingzhi Li, Min Chen +3 more·Dec 30, 2024
Quantum computing is an exciting non-Von Neumann paradigm, offering provable speedups over classical computing for specific problems. However, the practical limits of classical simulatability for quantum circuits remain unclear, especially with curre...
The surface code beyond Pauli channels: Logical noise coherence, information-theoretic measures, and errorfield-double phenomenology
Jan Behrends, Benjamin B'eri·Dec 30, 2024
We consider the surface code under errors featuring both coherent and incoherent components and study the coherence of the corresponding logical noise channel and how this impacts information-theoretic measures of code performance, namely coherent in...
Quantum algorithms for the simulation of QCD processes in the perturbative regime
Herschel A. Chawdhry, M. Pellen·Dec 30, 2024
Theoretical predictions for high-energy collision processes at particle colliders, such as the Large Hadron Collider (LHC), rely on calculations in perturbative Quantum Chromodynamics (QCD), which are often computationally challenging. In these confe...
A Comparison of HPC based Quantum Computing Simulators using Quantum Volume
Christian Boehme, Lourens van Niekerk, Dhiraj Kumar +3 more·Dec 29, 2024
This paper compares quantum computing simulators running on a single CPU or GPU-based HPC node using the Quantum Volume benchmark commonly proposed for comparing NISQ systems. As simulators do not suffer from noise, the metric used in the comparison ...
Error estimates and higher order Trotter product formulas in Jordan-Banach algebras
Sarah Chehade, Andrea Delgado, Shuzhou Wang +1 more·Dec 29, 2024
In quantum computing, Trotter estimates are critical for enabling efficient simulation of quantum systems and quantum dynamics, help implement complex quantum algorithms, and provide a systematic way to control approximate errors. In this paper, we e...
An Adaptive Mixer Allocation Algorithm for the Quantum Alternating Operator Ansatz
Xiao-Hui Ni, Yu-Sen Wu, Bin-Bin Cai +3 more·Dec 27, 2024
Recently, Hadfield et al. proposed the quantum alternating operator ansatz algorithm (QAOA+), an extension of the quantum approximate optimization algorithm (QAOA), to solve constrained combinatorial optimization problems (CCOPs). Compared with QAOA,...
Exponentially accurate open quantum simulation via randomized dissipation with minimal ancilla
Jumpei Kato, Kaito Wada, Kosuke Ito +1 more·Dec 27, 2024
Simulating open quantum systems is an essential technique for understanding complex physical phenomena and advancing quantum technologies. Some quantum algorithms simulate Lindblad dynamics exponentially accurately, i.e., they achieve logarithmically...
Super-bath Quantum Eigensolver
Tianren Wang, Zongkang Zhang, Bingjun Lu +2 more·Dec 27, 2024
The simulation of the dynamics of a system coupled to a low-temperature environment is a promising application of quantum computers to determine ground-state properties of physical systems. However, this approach requires not only the $\textit{existe...
Traversing Quantum Control Robustness Landscapes: A New Paradigm for Quantum Gate Engineering
Huiqi Xue, Xiu-Hao Deng·Dec 27, 2024
The optimization of robust quantum control is often tailored to specific tasks and suffers from inefficiencies due to the complexity of cost functions. Our recent findings indicate a highly effective methodology for the engineering of quantum gates b...
Transmon qutrit-based simulation of spin-1 AKLT systems
Keerthi Kumaran, Faisal Alam, N. Eassa +5 more·Dec 27, 2024
Qutrit-based quantum circuits could help reduce the overall circuit depths, and hence the effect of noise, when the system of interest has a local dimension of three. Accessing second excited states in superconducting transmons provides a straightfor...
High order schemes for solving partial differential equations on a quantum computer
Boris Arseniev, Dmitry Guskov, R. Sengupta +1 more·Dec 26, 2024
We explore the utilization of higher-order discretization techniques in optimizing the gate count needed for quantum computer based solutions of partial differential equations. To accomplish this, we present an efficient approach for decomposing $d$-...
An experimental proposal certification for any three-qubit generalized Greenberger-Horne-Zeilinger states based on the fine-grained steering inequality
Zhihao Bian, Jia-qi Sun, Yi Shen·Dec 26, 2024
Multi-party quantum steering is an important concept in quantum information theory and quantum mechanics, typically related to quantum entanglement and quantum nonlocality. It enables precise manipulation of large quantum systems, which is essentia...
Variational quantum state diagonalization with computational-basis probabilities
Juan Yao·Dec 24, 2024
In this report, we propose a novel quantum diagonalization algorithm based on the optimization of variational quantum circuits. Diagonalizing a quantum state is a fundamental yet computationally challenging task in quantum information science, especi...
Grover's search meets Ising models: A quantum algorithm for finding low-energy states
A. Zhukov, A. Lebedev, W. Pogosov·Dec 24, 2024
We propose a methodology for implementing Grover's algorithm in the digital quantum simulation of disordered Ising models. The core concept revolves around using the evolution operator for the Ising model as the quantum oracle within Grover's search....
Snapshot-QAOA: Extending QAOA to Quantum Hamiltonian Simulation
Reuben Tate, Quinn Langfitt, Elijah Pelofske +4 more·Dec 23, 2024
We present Snapshot-QAOA, a variation of the Quantum Approximate Optimization Algorithm (QAOA) that finds approximate minimum energy eigenstates of a large set of quantum Hamiltonians (i.e. Hamiltonians with non-diagonal terms). Traditionally, QAOA t...
Quantum Simulation of Dynamical Transition Rates in Open Quantum Systems
Robson Christie, Kyunghyun Baek, Jeongho Bang +1 more·Dec 23, 2024
Estimating transition rates in open quantum systems is hampered by computing-resource demands that grow rapidly with system size. We present a quantum-simulation framework that enables efficient estimation by recasting the transition rate, given as t...
Quantum simulation of Burgers turbulence: Nonlinear transformation and direct evaluation of statistical quantities
Fumio Uchida, Koichi Miyamoto, Soichiro Yamazaki +2 more·Dec 23, 2024
Fault-tolerant quantum computing is a promising technology to solve linear partial differential equations that are classically demanding to integrate. It is still challenging to solve non-linear equations in fluid dynamics, such as the Burgers equati...
Classical simulability of Clifford+T circuits with Clifford-augmented matrix product states
Zejun Liu, Bryan K. Clark·Dec 23, 2024
Determining the quantum-classical boundary between quantum circuits which can be efficiently simulated classically and those which cannot remains a fundamental question. One approach to classical simulation is to represent the output of a quantum cir...