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Proceeding Paper

A Numerically Exact Method for Dissipative Dynamics of Qubits †

by
L. M. Cangemi
1,2,*,
G. Passarelli
1,2,
V. Cataudella
1,2,
P. Lucignano
1,2 and
G. De Filippis
1,2
1
Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Complesso di Monte S. Angelo, via Cinthia, 80126 Napoli, Italy
2
CNR-SPIN, c/o Complesso di Monte S. Angelo, via Cinthia, 80126 Napoli, Italy
*
Author to whom correspondence should be addressed.
†
Presented at the 11th Italian Quantum Information Science Conference (IQIS2018), Catania, Italy, 17–20 September 2018.
Proceedings 2019, 12(1), 59; https://doi.org/10.3390/proceedings2019012059
Published: 4 December 2019
(This article belongs to the Proceedings of 11th Italian Quantum Information Science conference (IQIS2018))
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Abstract

We propose a numerical technique suitable for simulating the dynamics of reduced density matrix of a qubit interacting with its environment. Our approach, based on a combination of short-iterative Lanczos method (SIL) and a flexible truncation scheme, allows to include in the physical description multiple-excitation processes, beyond weak coupling and Markov approximations. We perform numerical simulations of two different model Hamiltonians, that are relevant in the field of adiabatic quantum computation (AQC), and we show that our technique is able to recover the correct thermodynamic behavior of the qubit-bath system, from weak to intermediate coupling regime.
Keywords: open quantum systems; AQC; quantum annealing; exact diagonalization open quantum systems; AQC; quantum annealing; exact diagonalization

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MDPI and ACS Style

Cangemi, L.M.; Passarelli, G.; Cataudella, V.; Lucignano, P.; Filippis, G.D. A Numerically Exact Method for Dissipative Dynamics of Qubits. Proceedings 2019, 12, 59. https://doi.org/10.3390/proceedings2019012059

AMA Style

Cangemi LM, Passarelli G, Cataudella V, Lucignano P, Filippis GD. A Numerically Exact Method for Dissipative Dynamics of Qubits. Proceedings. 2019; 12(1):59. https://doi.org/10.3390/proceedings2019012059

Chicago/Turabian Style

Cangemi, L. M., G. Passarelli, V. Cataudella, P. Lucignano, and G. De Filippis. 2019. "A Numerically Exact Method for Dissipative Dynamics of Qubits" Proceedings 12, no. 1: 59. https://doi.org/10.3390/proceedings2019012059

APA Style

Cangemi, L. M., Passarelli, G., Cataudella, V., Lucignano, P., & Filippis, G. D. (2019). A Numerically Exact Method for Dissipative Dynamics of Qubits. Proceedings, 12(1), 59. https://doi.org/10.3390/proceedings2019012059

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