Computing Ground State Properties with Early Fault-Tolerant Quantum Computers
Significant effort in applied quantum computing has been devoted to the problem of ground state energy estimation for molecules and materials. Yet, for many applications of practical value, additional properties of the ground state must be estimated. These include Green's functions used to comp...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2022-07-01
|
| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2022-07-11-761/pdf/ |
| _version_ | 1811223889715396608 |
|---|---|
| author | Ruizhe Zhang Guoming Wang Peter Johnson |
| author_facet | Ruizhe Zhang Guoming Wang Peter Johnson |
| author_sort | Ruizhe Zhang |
| collection | DOAJ |
| description | Significant effort in applied quantum computing has been devoted to the problem of ground state energy estimation for molecules and materials. Yet, for many applications of practical value, additional properties of the ground state must be estimated. These include Green's functions used to compute electron transport in materials and the one-particle reduced density matrices used to compute electric dipoles of molecules. In this paper, we propose a quantum-classical hybrid algorithm to efficiently estimate such ground state properties with high accuracy using low-depth quantum circuits. We provide an analysis of various costs (circuit repetitions, maximal evolution time, and expected total runtime) as a function of target accuracy, spectral gap, and initial ground state overlap. This algorithm suggests a concrete approach to using early fault tolerant quantum computers for carrying out industry-relevant molecular and materials calculations. |
| first_indexed | 2024-04-12T08:40:15Z |
| format | Article |
| id | doaj.art-096efc1860d9421f8a01719f54d6dabc |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-12T08:40:15Z |
| publishDate | 2022-07-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-096efc1860d9421f8a01719f54d6dabc2022-12-22T03:39:54ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2022-07-01676110.22331/q-2022-07-11-76110.22331/q-2022-07-11-761Computing Ground State Properties with Early Fault-Tolerant Quantum ComputersRuizhe ZhangGuoming WangPeter JohnsonSignificant effort in applied quantum computing has been devoted to the problem of ground state energy estimation for molecules and materials. Yet, for many applications of practical value, additional properties of the ground state must be estimated. These include Green's functions used to compute electron transport in materials and the one-particle reduced density matrices used to compute electric dipoles of molecules. In this paper, we propose a quantum-classical hybrid algorithm to efficiently estimate such ground state properties with high accuracy using low-depth quantum circuits. We provide an analysis of various costs (circuit repetitions, maximal evolution time, and expected total runtime) as a function of target accuracy, spectral gap, and initial ground state overlap. This algorithm suggests a concrete approach to using early fault tolerant quantum computers for carrying out industry-relevant molecular and materials calculations.https://quantum-journal.org/papers/q-2022-07-11-761/pdf/ |
| spellingShingle | Ruizhe Zhang Guoming Wang Peter Johnson Computing Ground State Properties with Early Fault-Tolerant Quantum Computers Quantum |
| title | Computing Ground State Properties with Early Fault-Tolerant Quantum Computers |
| title_full | Computing Ground State Properties with Early Fault-Tolerant Quantum Computers |
| title_fullStr | Computing Ground State Properties with Early Fault-Tolerant Quantum Computers |
| title_full_unstemmed | Computing Ground State Properties with Early Fault-Tolerant Quantum Computers |
| title_short | Computing Ground State Properties with Early Fault-Tolerant Quantum Computers |
| title_sort | computing ground state properties with early fault tolerant quantum computers |
| url | https://quantum-journal.org/papers/q-2022-07-11-761/pdf/ |
| work_keys_str_mv | AT ruizhezhang computinggroundstatepropertieswithearlyfaulttolerantquantumcomputers AT guomingwang computinggroundstatepropertieswithearlyfaulttolerantquantumcomputers AT peterjohnson computinggroundstatepropertieswithearlyfaulttolerantquantumcomputers |