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The so-called "phenomenological" kinetic equation for one-pair density operator for spin-selective reactions is defended. We derive this equation from the kinetic equation for density operator of all pairs which are treated as singlet and…

Quantum Physics · Physics 2013-04-24 Leonid V. Il'ichov , Sergey V. Anishchik

This paper aims to devise the shape of the external electromagnetic field that drives the spin dynamics of radical pairs to a quantum coherent state through maximization of the triplet-born singlet yield in biochemical reactions. The model…

Quantum Physics · Physics 2026-05-06 Ugur G. Abdulla , Jose H. Rodrigues , Jean-Jacques Slotine

In the last decade, the development of theoretical methods have allowed chemists to reproduce and explain almost all of the experimental data associated with elementary atom plus diatom collisions. However, there are still a few examples…

Chemical Physics · Physics 2016-08-15 P. G. Jambrina , A. Zanchet , J. Aldegunde , M. Brouard , F. J. Aoiz

The temporal evolution of a quantum system can be characterized by quantum process tomography, a complex task that consumes a number of physical resources scaling exponentially with the number of subsystems. An alternative approach to the…

We present a use case of practical utility of quantum computing by employing a quantum computer in the investigation of the linear H$_4$ molecule as a simple model to comply with the requirements of singlet fission. We leverage a series of…

Quantum Physics · Physics 2024-06-06 Daniel Claudino , Bo Peng , Karol Kowalski , Travis S. Humble

Radical-ion-pair reactions, central in photosynthesis and the avian magnetic compass mechanism, have recently shown to be a paradigm system for applying quantum information science in a biochemical setting. The fundamental quantum master…

Quantum Physics · Physics 2014-10-27 M. Kritsotakis , I. K. Kominis

Singlet fission is a photoconversion process that generates a doubly excited, maximally spin entangled pair state. This state has applications to quantum information and computing that are only beginning to be realized. In this article, we…

Chemical Physics · Physics 2020-11-11 Kori Smyser , Joel Eaves

Radical-ion pairs are ubiquitous in a wide range of biochemical reactions, ranging from photosynthesis to magnetic sensitive chemical reactions underlying avian magnetic navigation. We here show that the charge recombination of a…

Quantum Physics · Physics 2008-08-18 I. K. Kominis

Entangled states with a large number of $N$ atomic spins are a key ingredient for quantum information processing and quantum metrology. Nowadays, the preparation of such states has mainly relied on the quadratic nonlinear dynamics. Here, we…

Partial trace is a very important mathematical operation in quantum mechanics. It is not only helpful in studying the subsystems of a composite quantum system but also used in computing a vast majority of quantum entanglement measures.…

Quantum Physics · Physics 2019-06-28 Pranay Barkataki , M. S. Ramkarthik

The effect of exchange interactions within spin pairs on spin-dependent transport and recombination rates through localized states in semiconductors during coherent electron spin resonant excitation is studied theoretically. It is shown…

Materials Science · Physics 2008-01-09 A. Gliesche , C. Michel , V. Rajevac , K. Lips , S. D. Baranovskii , F. Gebhard , C. Boehme

In this paper we discuss the effect of recombinations to highly excited states (n > 100) in hydrogen during the cosmological recombination epoch. For this purpose, we developed a new ODE solver for the recombination problem, based on an…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 J. Chluba , G. M. Vasil , L. J. Dursi

A coherent ensemble of spins interfaced with a proxy qubit is an attractive platform to create many-body coherences and probe the regime of collective excitations. An electron spin qubit in a semiconductor quantum dot can act as such an…

To every binary linear [n,k]-code C we associate a quantum state ("codeket") belonging to the n-th tensor power of the 2-dimensional complex Hilbert space associated to the spin 1/2 particle. We completely characterize the expectation…

Quantum Physics · Physics 2007-05-23 Mihai Caragiu

Detailed analysis of behavior of spin-entangled particle pairs under arbitrary rotations in their Hilbert space has been performed. It shows a rich range of varieties (faces) of entanglement in different bases. Analytic criteria are…

Quantum Physics · Physics 2019-01-03 Moses Fayngold

We present two particular decoding procedures for reconstructing a quantum state from the Hawking radiation in the Hayden-Preskill thought experiment. We work in an idealized setting and represent the black hole and its entangled partner by…

High Energy Physics - Theory · Physics 2017-10-17 Beni Yoshida , Alexei Kitaev

The partial trace operation is usually considered in composite quantum systems, to reduce the state on a single subsystem. This operation has a key role in the decoherence effect and quantum measurements. However, partial trace operations…

Quantum Physics · Physics 2024-03-18 Quentin Ansel

We compute analytically the statistics of the Renyi and von Neumann entropies (standard measures of entanglement), for a random pure state in a large bipartite quantum system. The full probability distribution is computed by first mapping…

Statistical Mechanics · Physics 2011-05-30 Celine Nadal , Satya N Majumdar , Massimo Vergassola

The geometric separability probability of composite quantum systems is extensively studied in the last decades. One of most simple but strikingly difficult problem is to compute the separability probability of qubit-qubit and rebit-rebit…

Mathematical Physics · Physics 2023-07-24 Attila Lovas , Attila Andai

The analysis of a chemical reaction along the ground state potential energy surface in conjunction with an unknown spin state is challenging because electronic states must be separately computed several times using different spin…

Chemical Physics · Physics 2023-03-14 Soichi Shirai , Hokuto Iwakiri , Keita Kanno , Takahiro Horiba , Keita Omiya , Hirotoshi Hirai , Sho Koh