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A Bloch sphere is the geometrical representation of an arbitrary two-dimensional Hilbert space. Possible classes of entanglement and separability for the pure and mixed states on the Bloch sphere were suggested by [M. Boyer, R. Liss, T.…

量子物理 · 物理学 2020-03-31 Rotem Liss , Tal Mor , Roman Orus

We present an analysis of spontaneous emission in a 3-level atom as an example of a qutrit state under the action of noisy quantum channels. We choose a 3-level atom with V-configuration to be the qutrit state. Gell-Mann matrices and a…

量子物理 · 物理学 2007-05-23 A. Checinska , K. Wodkiewicz

We present a straightforward, noniterative projection scheme that can represent the electronic ground state of a periodic system on a finite atomic-orbital-like basis, up to a predictable number of electronic states and with controllable…

介观与纳米尺度物理 · 物理学 2015-06-17 Luis A. Agapito , Andrea Ferretti , Arrigo Calzolari , Stefano Curtarolo , Marco Buongiorno Nardelli

Understanding quantum mechanics is inherently challenging due to its counterintuitive principles. Quantum Intuition XR is an interactive, extended reality (XR) experience designed to make quantum concepts tangible. Our system visualizes…

量子物理 · 物理学 2025-04-15 Jamie Ngoc Dinh , Marven Wong , Matthew Brooks , Charles Tahan , Myungin Lee

The quantum state of a $d$-dimensional system can be represented by the $d^2$ probabilities corresponding to a SIC-POVM, and then this distribution of probability can be represented by a vector of $\R^{d^2-1}$ in a simplex, we will call…

量子物理 · 物理学 2011-06-09 Jose Ignacio Rosado

We propose a quantum-inspired framework to model subjective evaluation processes using state vectors in Hilbert space. In this approach, individual preferences are represented as cognitive states polarized between 'like' and 'dislike',…

介观与纳米尺度物理 · 物理学 2026-01-05 Bumned Soodchomshom

A quantum inspired open optical system is mathematically implemented with an analogous three state non-Hermitian Hamiltonian exhibiting two special avoided-resonance-crossings; where interesting characteristics alongside a third-order…

量子物理 · 物理学 2018-03-19 Sayan Bhattacherjee , Arnab Laha , Somnath Ghosh

The orbital, spin and valley degrees of freedom in silicon quantum dots support many modes of spin qubit operation. However, it is generally challenging to obtain information about the energy level spectrum over large ranges of parameter…

介观与纳米尺度物理 · 物理学 2026-04-06 Heun Mo Yoo , Tanner M. Janda , Connor Nasseraddin , Jason R. Petta

We study the separability of bipartite quantum systems in arbitrary dimensions using the Bloch representation of their density matrix. This approach enables us to find an alternative characterization of the separability problem, from which…

量子物理 · 物理学 2024-12-05 Julio I. de Vicente

Integrated optics allow the generation and control of increasingly complex photonic states on chip based architectures. Here, we implement two entangled qutrits - a 9-dimensional quantum system - and demonstrate an exceptionally high degree…

量子物理 · 物理学 2015-06-04 Christoph Schaeff , Robert Polster , Marcus Huber , Sven Ramelow , Anton Zeilinger

Any two-qubit state can be represented geometrically by a steering ellipsoid inside the Bloch sphere. We extend this approach to represent any block positive two-qubit operator $B$. We derive a novel classification scheme based on the…

量子物理 · 物理学 2015-07-13 Antony Milne , David Jennings , Terry Rudolph

Just as any state of a single qubit or 2-level system can be obtained from any other state by a rotation operator parametrized by three real Euler angles, we show how any state of an n-qubit or 2^n-level system can be obtained from any…

量子物理 · 物理学 2007-05-23 W. E. Baylis , R. Cabrera , C. Rangan

The Bloch sphere is a generic picture describing a coupled two-level system and the coherent dynamics of its superposition states under control of electromagnetic fields. It is commonly employed to visualise a broad variety of phenomena…

介观与纳米尺度物理 · 物理学 2013-07-19 Thomas Faust , Johannes Rieger , Maximilian J. Seitner , Jörg P. Kotthaus , Eva M. Weig

We consider quantum metrology with arbitrary prior knowledge of the parameter. We demonstrate that a single sensing two-level system can act as a virtual multi-level system that offers increased sensitivity in a Bayesian, single-shot,…

量子物理 · 物理学 2017-05-03 P. Sekatski , M. Skotiniotis , W. Dür

We investigate the norms of the Bloch vectors for any quantum state with subsystems less than or equal to four. Tight upper bounds of the norms are obtained, which can be used to derive tight upper bounds for entanglement measure defined by…

量子物理 · 物理学 2019-03-27 Ming Li , Zong Wang , Jing Wang , Shuqian Shen , Shao-ming Fei

Contextuality is a foundational phenomenon underlying key differences between quantum theory and classical realistic descriptions of the world. Here we propose an experimental test which is capable of revealing contextuality in all qutrit…

量子物理 · 物理学 2013-09-23 Jayne Thompson , Robert Pisarczyk , Pawel Kurzynski , Dagomir Kaszlikowski

Quantum engineering now allows to design and construct multi-qubit states in a range of physical systems. These states are typically quite complex in nature, with disparate, but relevant properties that include both single and multi-qubit…

The interaction between multilevel quantum systems and coherent radiation underlies several phenomena in modern atomic optics. The formulation and solution of the Bloch equations, which describe the dynamics of such systems, become complex…

量子物理 · 物理学 2025-06-03 M. P. M. de Souza , G. H. H. Pavão , A. A. C. de Almeida , S. S. Vianna

We map neutrinos to qubit and qutrit states of quantum information theory by constructing the Poincar\'e sphere using SU(2) Pauli matrices and SU(3) Gell-Mann matrices, respectively. The construction of the Poincar\'e sphere in the…

高能物理 - 唯象学 · 物理学 2024-01-31 Abhishek Kumar Jha , Akshay Chatla , Bindu A. Bambah