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We study quantum states produced by optimal phase covariant quantum cloners. We argue that cloned quantum superpositions are not macroscopic superpositions in the spirit of Schr\"odinger's cat, despite their large particle number. This is…

量子物理 · 物理学 2012-10-26 F. Fröwis , W. Dür

Quantum coherence (QCh) is considered to be a key ingredient in quantum resource theories and also plays a pivotal role in the design and implementation of various information processing tasks. Consequently, it becomes important for us to…

量子物理 · 物理学 2017-11-22 Indranil Chakrabarty , Udit Kamal Sharma , Manish Kumar Shukla

Based on phase-space structures of quantum states, we propose a novel measure to quantify macroscopic quantum superpositions. Our measure simultaneously quantifies two different kinds of essential information for a given quantum state in a…

量子物理 · 物理学 2011-06-02 Chang-Woo Lee , Hyunseok Jeong

We consider a quantum system subject to superselection rules, for which certain restrictions apply to the quantum operations that can be implemented. It is shown how the notion of quantum-nonlocality has to be redefined in the presence of…

量子物理 · 物理学 2009-11-10 F. Verstraete , J. I. Cirac

Quantum steering in a global state allows an observer to remotely steer a subsystem into different ensembles by performing different local measurements on the other part. We show that, in general, this property cannot be perfectly cloned by…

量子物理 · 物理学 2023-01-13 Dian Zhu , Wei-Min Shang , Fu-Lin Zhang , Jing-Ling Chen

We investigate the inseparability of states generated by superposition of a multipartite pure entangled state with a product state. In particular, we identify specific multipartite entangled states that will always produce inseparability…

量子物理 · 物理学 2025-09-08 Swati Choudhary , Ujjwal Sen , Saronath Halder

In this article, we study an opposite problem of universal quantum state comparison, that is unambiguous determining whether multiple unknown quantum states from a Hilbert space are orthogonal or not. We show that no unambiguous quantum…

量子物理 · 物理学 2015-06-05 Shengshi Pang , Shengjun Wu

Recently, the nonlocal optimal probabilistic cloning (NLOPC) of two non-orthogonal qubit states has been proposed [Phys. Rev. A 86, 052332 (2012)] by means of an experimental setup based on a pair of twin photons in a maximally entangled…

量子物理 · 物理学 2016-11-02 Nataly Cisternas , Gabriel Araneda , Omar Jiménez , Aldo Delgado

Optimal quantum cloning is the process of making one or more copies of an arbitrary unknown input quantum state with the highest possible fidelity. All reported demonstrations of quantum cloning have so far been limited to copying…

Entanglement is a powerful resource for processing quantum information. In this context pure, maximally entangled states have received considerable attention. In the case of bipartite qubit-systems the four orthonormal Bell-states are of…

量子物理 · 物理学 2015-06-26 I. Jex , G. Alber , S. M. Barnett , A. Delgado

Based on the generalized Bloch representation, we study the separability and entanglement of arbitrary dimensional multipartite quantum states. Some sufficient and some necessary criteria are presented. For certain states, these criteria…

量子物理 · 物理学 2025-09-09 Zhi-Bo Chen , Shao-Ming Fei

High-fidelity quantum computation and quantum state transfer are possible in short spin chains. We exploit a system based on a dispersive qubit-boson interaction to mimic XY coupling. In this model, the usually assumed nearest-neighbors…

量子物理 · 物理学 2009-11-10 M. Paternostro , G. M. Palma , M. S. Kim , G. Falci

We analyze the problem of approximate quantum cloning when the quantum state is between two latitudes on the Bloch's sphere. We present an analytical formula for the optimized 1-to-2 cloning. The formula unifies the universal quantum…

量子物理 · 物理学 2008-06-23 Jia-Zhong Hu , Zong-Wen Yu , Xiang-Bin Wang

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

The Prime state of $n$ qubits, $|\mathbb{P}_n\rangle$, is defined as the uniform superposition of all the computational-basis states corresponding to prime numbers smaller than $2^n$. This state encodes, quantum mechanically, arithmetic…

量子物理 · 物理学 2020-12-16 D. García-Martín , E. Ribas , S. Carrazza , J. I. Latorre , G. Sierra

The properties of the geometric phases between three quantum states are investigated in a high-dimensional Hilbert space using the Majorana representation of symmetric quantum states. We found that the geometric phases between the three…

量子物理 · 物理学 2012-04-18 Shuhei Tamate , Kazuhisa Ogawa , Masao Kitano

The absolutely maximally entangled (AME) states play key roles in quantum information processing. We provide an explicit expression of the generalized Bloch representation of AME states for general dimension $d$ of individual subsystems and…

量子物理 · 物理学 2018-01-26 Bo Li , Shuhan Jiang , Shao-Ming Fei , Xianqing Li-Jost

We extend Bloch Sphere formalism to pure two qubit systems. Combining insights from Geometric Algebra and analysis of entanglement in different conjugate bases we identify Two Bloch Sphere geometry that is suitable for representing…

量子物理 · 物理学 2024-03-19 Stanislav Filatov , Marcis Auzinsh

New technological developments allow to explore the quantum properties of very complex systems, bringing the question of whether also macroscopic systems share such features, within experimental reach. The interest in this question is…

量子物理 · 物理学 2015-06-17 Mohammad Bahrami , Angelo Bassi , Hendrik Ulbricht

We show that the Bloch vectors lying on any great circle is the largest set S(L) for which the parallel states |n,n> can always be transformed into the anti-parallel states |n,-n>. Thus more information about the Bloch vector is not…

量子物理 · 物理学 2009-11-06 Sibasish Ghosh , Anirban Roy , Ujjwal Sen