Simulating electronic structure on bosonic quantum computers
Gorde:
| Argitaratua izan da: | arXiv.org (Oct 17, 2024), p. n/a |
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| Egile nagusia: | |
| Beste egile batzuk: | , , , , , , , |
| Argitaratua: |
Cornell University Library, arXiv.org
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| Gaiak: | |
| Sarrera elektronikoa: | Citation/Abstract Full text outside of ProQuest |
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| 001 | 3040139869 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 2331-8422 | ||
| 035 | |a 3040139869 | ||
| 045 | 0 | |b d20241017 | |
| 100 | 1 | |a Dutta, Rishab | |
| 245 | 1 | |a Simulating electronic structure on bosonic quantum computers | |
| 260 | |b Cornell University Library, arXiv.org |c Oct 17, 2024 | ||
| 513 | |a Working Paper | ||
| 520 | 3 | |a Computations with quantum harmonic oscillators, or qumodes, represents a promising and rapidly evolving approach for quantum computing. Unlike qubits, which are two-level quantum systems, bosonic qumodes can have an infinite number of discrete levels, and can also be represented using continuous-variable bases. One of the most promising applications of quantum computing is the simulation of many-fermion problems, such as those encountered in molecular electronic structure calculations. In this work, we demonstrate how an electronic structure Hamiltonian can be transformed into a system of qumodes through qubit-assisted fermion-to-qumode mapping. After mapping the electronic structure Hamiltonian to a qubit Hamiltonian, we show how to represent it as a linear combination of bosonic gates, which can be universally controlled by qubits. We illustrate the potential of this mapping by applying it to the dihydrogen molecule, mapping the four-qubit Hamiltonian to a qubit-qumode system. The preparation of the trial qumode state and the computation of the expectation value are achieved by coupling the mapped qubit-qumode system with an ancilla qubit. This enables the formulation of bosonic variational quantum eigensolver (VQE) algorithms, such as those on hybrid qubit-qumode gates like echoed conditional displacement (ECD-VQE) or selective number-dependent arbitrary phase (SNAP-VQE), to determine the ground state of the dihydrogen molecule. In circuit quantum electrodynamics (cQED) hardware, these methods can be efficiently implemented using a microwave resonator coupled to two superconducting transmon qubits. We anticipate the reported work will pave the way for simulating many-fermion systems by leveraging the potential of hybrid qubit-qumode quantum devices. | |
| 653 | |a Quantum computing | ||
| 653 | |a Electrons | ||
| 653 | |a Quantum computers | ||
| 653 | |a Harmonic oscillators | ||
| 653 | |a Continuity (mathematics) | ||
| 653 | |a Fermions | ||
| 653 | |a Electronic structure | ||
| 653 | |a Simulation | ||
| 653 | |a Molecular structure | ||
| 653 | |a Qubits (quantum computing) | ||
| 700 | 1 | |a Vu, Nam P | |
| 700 | 1 | |a Xu, Chuzhi | |
| 700 | 1 | |a Lyu, Ningyi | |
| 700 | 1 | |a Soudackov, Alexander V | |
| 700 | 1 | |a Xiaohan Dan | |
| 700 | 1 | |a Li, Haote | |
| 700 | 1 | |a Wang, Chen | |
| 700 | 1 | |a Batista, Victor S | |
| 773 | 0 | |t arXiv.org |g (Oct 17, 2024), p. n/a | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3040139869/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full text outside of ProQuest |u http://arxiv.org/abs/2404.10222 |