Understanding Quantum Imaginary Time Evolution and Its Variational Form

Andreu  Anglés-Castillo; Luca Ion; Tanmoy Pandit; Rafael Gomez-Lurbe; Rodrigo Martínez; Miguel Angel  Garcia-March

doi:10.1007/978-3-032-05748-8_22

Understanding Quantum Imaginary Time Evolution and Its Variational Form

Andreu Anglés-Castillo^*
, Luca Ion
, Tanmoy Pandit
, Rafael Gomez-Lurbe
, Rodrigo Martínez
, Miguel Angel Garcia-March

^*Corresponding author for this work

Not published at VTT

Hebrew University of Jerusalem
Leibniz University Hannover
Technical University of Berlin

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

Abstract

Many computationally hard problems can be encoded in quantum Hamiltonians. The solution to these problems is given by the ground states of these Hamiltonians. A state-of-the-art algorithm for finding the ground state of a Hamiltonian is the so-called Quantum Imaginary Time Evolution (QITE) which approximates imaginary time evolution by a unitary evolution that can be implemented in quantum hardware. In this paper, we review the original algorithm together with a comprehensive computer program, as well as, the variational version of it.

Original language	English
Title of host publication	Distributed Computing and Artificial Intelligence, Special Sessions II, 22nd International Conference
Publisher	Springer Nature
Pages	269-279
Number of pages	11
ISBN (Electronic)	978-3-032-05748-8
ISBN (Print)	978-3-032-05747-1
DOIs	https://doi.org/10.1007/978-3-032-05748-8_22
Publication status	Published - 1 Apr 2026
MoE publication type	A4 Article in a conference publication

Keywords

Quantum computing
Quantum simulation

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10.1007/978-3-032-05748-8_22

Cite this

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abstract = "Many computationally hard problems can be encoded in quantum Hamiltonians. The solution to these problems is given by the ground states of these Hamiltonians. A state-of-the-art algorithm for finding the ground state of a Hamiltonian is the so-called Quantum Imaginary Time Evolution (QITE) which approximates imaginary time evolution by a unitary evolution that can be implemented in quantum hardware. In this paper, we review the original algorithm together with a comprehensive computer program, as well as, the variational version of it.",

keywords = "Quantum computing, Quantum simulation",

author = "Andreu Angl{\'e}s-Castillo and Luca Ion and Tanmoy Pandit and Rafael Gomez-Lurbe and Rodrigo Mart{\'i}nez and Garcia-March, \{Miguel Angel\}",

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Understanding Quantum Imaginary Time Evolution and Its Variational Form. / Anglés-Castillo, Andreu ; Ion, Luca; Pandit, Tanmoy et al.
Distributed Computing and Artificial Intelligence, Special Sessions II, 22nd International Conference. Springer Nature, 2026. p. 269-279.

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - Understanding Quantum Imaginary Time Evolution and Its Variational Form

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AU - Pandit, Tanmoy

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AU - Martínez, Rodrigo

AU - Garcia-March, Miguel Angel

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N2 - Many computationally hard problems can be encoded in quantum Hamiltonians. The solution to these problems is given by the ground states of these Hamiltonians. A state-of-the-art algorithm for finding the ground state of a Hamiltonian is the so-called Quantum Imaginary Time Evolution (QITE) which approximates imaginary time evolution by a unitary evolution that can be implemented in quantum hardware. In this paper, we review the original algorithm together with a comprehensive computer program, as well as, the variational version of it.

AB - Many computationally hard problems can be encoded in quantum Hamiltonians. The solution to these problems is given by the ground states of these Hamiltonians. A state-of-the-art algorithm for finding the ground state of a Hamiltonian is the so-called Quantum Imaginary Time Evolution (QITE) which approximates imaginary time evolution by a unitary evolution that can be implemented in quantum hardware. In this paper, we review the original algorithm together with a comprehensive computer program, as well as, the variational version of it.

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KW - Quantum simulation

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BT - Distributed Computing and Artificial Intelligence, Special Sessions II, 22nd International Conference

PB - Springer Nature

ER -

Understanding Quantum Imaginary Time Evolution and Its Variational Form

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Keywords

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