NV center creation in diamond by local CW laser irradiation of shallow implanted nitrogen by Alexius Enke, Nicole Raatz, Jan Meijer, Ralf Wunderlich

Get full text

Solving Quantum Dynamics with a Lie-Algebra Decoupling Method by Sofia Qvarfort, Igor Pikovski

“…Quantum technologies rely on the control of quantum systems at the level of individual quanta. Mathematically, this control is described by Hamiltonian or Liouvillian evolution, requiring the application of various techniques to solve the resulting dynamic equations. …”
Get full text

Efficient Hamiltonian encoding algorithms for extracting quantum control mechanism as interfering pathway amplitudes in the Dyson series by Erez Abrams, Michael Kasprzak, Gaurav Bhole, Tak-San Ho, Herschel Rabitz

“…Hamiltonian encoding is a methodology for revealing the mechanism behind the dynamics governing controlled quantum systems. In this paper, following Mitra and Rabitz \cite{abhra_1}, we define mechanism via pathways of eigenstates that describe the evolution of the system, where each pathway is associated with a complex-valued amplitude corresponding to a term in the Dyson series. …”
Get full text

On Quantum Statistical Mechanics: A Study Guide by Wladyslaw Adam Majewski

“…Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum systems and their consequences. These include the emergence of algebraic approach and the necessity of employment of infinite-dimensional structures. …”
Get full text

Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits by M. Merkli, G. P. Berman, I. M. Sigal

“…We describe our recent results on the resonant perturbation theory of decoherence and relaxation for quantum systems with many qubits. The approach represents a rigorous analysis of the phenomenon of decoherence and relaxation for general N-level systems coupled to reservoirs of bosonic fields. …”
Get full text

A Quantum-Classical Collaborative Training Architecture Based on Quantum State Fidelity by Ryan L'Abbate, Anthony D'Onofrio, Samuel Stein, Samuel Yen-Chi Chen, Ang Li, Pin-Yu Chen, Juntao Chen, Ying Mao

“…Recent advancements have highlighted the limitations of current quantum systems, particularly the restricted number of qubits available on near-term quantum devices. …”
Get full text

Computing Coherence Vectors and Correlation Matrices with Application to Quantum Discord Quantification by Jonas Maziero

“…Besides, we provide Fortran code to generate generalized Gell-Mann matrices and to compute the optimized and unoptimized versions of associated Bloch’s vectors and correlation matrix in the case of bipartite quantum systems. As a code test and application example, we consider the calculation of Hilbert-Schmidt quantum discords.…”
Get full text

Wide Effectiveness of a Sine Basis for Quantum-Mechanical Problems in d Dimensions by Richard L. Hall, Alexandra Lemus Rodríguez

“…What is perhaps a natural basis for quantum systems confined to a spherical box in Rd turns out to be appropriate also for problems that are softly confined by U-shaped potentials, including those with strong singularities at r=0. …”
Get full text

A New Kind of Shift Operators for Infinite Circular and Spherical Wells by Guo-Hua Sun, K. D. Launey, T. Dytrych, Shi-Hai Dong, J. P. Draayer

“…These shift operators depend on all spatial variables of quantum systems and connect some eigenstates of confined systems of different radii R sharing energy levels with a common eigenvalue. …”
Get full text

Thermalization in Krylov basis by Mohsen Alishahiha, Mohammad Javad Vasli

“…Abstract We study thermalization in closed non-integrable quantum systems using the Krylov basis. We demonstrate that for thermalization to occur, the matrix representation of typical local operators in the Krylov basis should exhibit a specific tridiagonal form with all other elements in the matrix being exponentially small, reminiscent of the eigenstate thermalization hypothesis. …”
Get full text

Probing the Page transition via approximate quantum error correction by Haocheng Zhong

“…Furthermore, the Page transition, as a special property of the Page curve, should be understood as the property of approximate quantum error correction itself, i.e. a general class of quantum systems under certain conditions from approximate quantum error correction can also exhibit phenomenon similar to the Page transition.…”
Get full text

Pulse engineering via projection of response functions by Nicolas Heimann, Lukas Broers, Ludwig Mathey

“…We present an iterative optimal control method of quantum systems, aimed at an implementation of a desired operation with optimal fidelity. …”
Get full text

SU(N) symmetry with ultracold alkali dimers: Weak dependence of scattering properties on hyperfine state by Bijit Mukherjee, Jeremy M. Hutson

“…We investigate the prospect of using ultracold alkali diatomic molecules to implement many-body quantum systems with SU(N) symmetry. Experimentally accessible molecules offer large N for both bosonic and fermionic systems, with both attractive and repulsive interactions. …”
Get full text

Non-Markovian quantum exceptional points by Jhen-Dong Lin, Po-Chen Kuo, Neill Lambert, Adam Miranowicz, Franco Nori, Yueh-Nan Chen

“…Abstract Exceptional points (EPs) are singularities in the spectra of non-Hermitian operators where eigenvalues and eigenvectors coalesce. Open quantum systems have recently been explored as EP testbeds due to their non-Hermitian nature. …”
Get full text

Unveiling hidden geometric phase of neutron spin rotation in the Bitter–Dubbers experiment by Jian-Jian Cheng, Lin Zhang

“…We propose a novel framework to describe geometric phases in quantum systems under non-adiabatic conditions by introducing the concept of a hidden geometric phase. …”
Get full text

Few-photon SUPER: Quantum emitter inversion via two off-resonant photon modes by Quentin W. Richter, Jan M. Kaspari, Thomas K. Bracht, Leonid Yatsenko, Vollrath Martin Axt, Arno Rauschenbeutel, Doris E. Reiter

“…With the realization of controlled quantum systems, exploring excitations beyond the resonant case opens new possibilities. …”
Get full text

Noise-agnostic quantum error mitigation with data augmented neural models by Manwen Liao, Yan Zhu, Giulio Chiribella, Yuxiang Yang

“…Our approach applies to quantum circuits and to the dynamics of many-body and continuous-variable quantum systems, accommodating various types of noise models. …”
Get full text

Superconducting quantum computing optimization based on multi-objective deep reinforcement learning by Yangting Liu

“…Abstract Deep reinforcement learning is considered an effective technology in quantum optimization and can provide strategies for optimal control of complex quantum systems. More precise measurements require simulation control at multiple experimental stages. …”
Get full text

Neural quantum propagators for driven-dissipative quantum dynamics by Jiaji Zhang, Carlos L. Benavides-Riveros, Lipeng Chen

“…Describing the dynamics of strong-laser driven open quantum systems is a very challenging task that requires the solution of highly involved equations of motion. …”
Get full text

A Review of Procedures for Summing Kapteyn Series in Mathematical Physics by R. C. Tautz, I. Lerche

“…The purpose of this review article is to present some of the recent methods for providing such series in closed form with applications to: (i) the summation of Kapteyn series for radiation from pulsars; (ii) the summation of other Kapteyn series in radiation problems; (iii) Kapteyn series arising in terahertz sideband spectra of quantum systems modulated by an alternating electromagnetic field; and (iv) some plasma problems involving sums of Bessel functions and their closed form summation using variations of the techniques developed for Kapteyn series. …”
Get full text