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We point out that argumentation presented in [Phys. Lett. A 417, 127699 (2021)], leading to the conclusion that in periodic systems there is a superselection principle forbidding two different Bloch states to form a coherent superposition…

量子物理 · 物理学 2022-11-10 Tomasz Sowiński

Given a bipartite quantum state (in arbitrary dimension) and a decomposition of it as a superposition of two others, we find bounds on the entanglement of the superposition state in terms of the entanglement of the states being superposed.…

量子物理 · 物理学 2009-11-11 Noah Linden , Sandu Popescu , John A. Smolin

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

We obtain the optimal scheme for estimating unknown qubit mixed states when an arbitrary number N of identically prepared copies is available. We discuss the case of states in the whole Bloch sphere as well as the restricted situation where…

量子物理 · 物理学 2009-11-11 E. Bagan , M. A. Ballester , R. D. Gill , A. Monras , R. Munoz-Tapia

We study the feasibility of implementing a quantum NOT gate (approximate) when the quantum state lies between two latitudes on the Bloch's sphere and present an analytical formula for the optimized 1-to-$M$ quantum NOT gate. Our result…

量子物理 · 物理学 2015-05-13 Z. W. Yu , X. T. Ni , L. C. Kwek , X. B. Wang

The no-cloning theorem forbids the distribution of an unknown state to more than one receiver. However, if the sender knows the state, and the state is chosen from a restricted set of possibilities, a procedure known as remote state…

量子物理 · 物理学 2022-05-04 Mark Hillery , János A. Bergou , Tzu-Chieh Wei , Siddhartha Santa , Vladimir Malinovsky

The superposition principle is at the heart of quantum mechanics and at the root of many paradoxes arising when trying to extend its predictions to our everyday world. Schroedinger's cat is the prototype of such paradoxes and here, in…

Localizability of entanglement in fully inseparable states is a key ingredient of assisted quantum information protocols as well as measurement-based models of quantum computing. We investigate the existence of fully inseparable states with…

量子物理 · 物理学 2017-10-31 M. Mičuda , D. Koutný , M. Miková , I. Straka , M. Ježek , L. Mišta

The concept of a superposition is a revolutionary novelty introduced by Quantum Mechanics. If a system may be in any one of two pure states x and y, we must consider that it may also be in any one of many superpositions of x and y. An…

量子物理 · 物理学 2008-04-07 Daniel Lehmann

Is there any point of principle that prohibits us from doing one or more forms of quantum information processing? It is now well known that an unknown quantum state can neither be copied nor deleted perfectly. Given a set of states which…

量子物理 · 物理学 2007-05-23 A. John Arul

We present a method to systematically identify and classify quantum optical non-classical states as classical/non-classical based on the resources they create on a bosonic quantum computer. This is achieved by converting arbitrary bosonic…

量子物理 · 物理学 2024-12-31 Eloi Descamps , Nicolas Fabre , Astghik Saharyan , Arne Keller , Pérola Milman

Here we show that two Bloch states, which are energy eigenstates of a quantum periodic potential problem, with different wavevectors can not be linearly superposed to display quantum interference of any kind that captures the relative phase…

量子物理 · 物理学 2021-11-22 Vivek M. Vyas

The quasidistributions corresponding to the diagonal representation of quantum states are discussed within the framework of operator-symbol construction. The tomographic-probability distribution describing the quantum state in the…

量子物理 · 物理学 2015-05-13 Vladimir I. Man'ko , Giuseppe Marmo , E. C. George Sudarshan

We propose two experimental schemes for producing coherent-state superpositions which approximate different nonclassical states conditionally in traveling optical fields. Although these setups are constructed of a small number of linear…

量子物理 · 物理学 2018-02-21 Emese Molnar , Peter Adam , Gabor Mogyorosi , Matyas Mechler

Quantum superposition is often phrased as the ability to add state vectors. In practice, however, the physical quantity is a ray (a rank-one projector), so each input specifies only a projector and leaves a gauge freedom in the phases of…

量子物理 · 物理学 2026-01-22 Jeongho Bang , Kyoungho Cho , Ki Hyuk Yee

Quantum no-cloning, the impossibility of perfectly cloning an arbitrary unknown quantum state, is one of the most fundamental limitations due to the laws of quantum mechanics, which underpin the physical security of quantum key…

Quantum mechanics allows coherent superposition between different states of matter. This quality is responsible for major non-classical phenomena that occur in quantum systems. Beyond states, coherent superpositions are also possible…

量子物理 · 物理学 2019-10-16 Manabendra Nath Bera

Attempts at cloning a quantum system result in the introduction of imperfections in the state of the copies. This is a consequence of the no-cloning theorem, which is a fundamental law of quantum physics and the backbone of security for…

量子物理 · 物理学 2016-08-17 Frédéric Bouchard , Robert Fickler , Robert W Boyd , Ebrahim Karimi

We introduce a family of quantized field states that can perform exact (entanglement- and error-free) rotations of a two-level atom starting from a specific state on the Bloch sphere. We discuss the similarities and differences between…

量子物理 · 物理学 2024-10-03 Shanon Vuglar , Julio Gea-Banacloche

Using electrostatic gates to control the electron positions, we present a new controlled-NOT gate based on quantum dots. The qubit states are chosen to be the spin states of an excess conductor electron in the quantum dot; and the main…

量子物理 · 物理学 2007-05-23 Cyrus C. Y. Lin , Chopin Soo , Yin-Zhong Wu , Wei-Min Zhang