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We consider cloning transformations of d-dimensional states of the form e^{i\phi_0}|0> + e^{i\phi_1}|1> +...+ e^{i\phi_{d-1}}|d-1> that are covariant with respect to rotations of the phases \phi_i's. The optimal cloning maps are easily…

量子物理 · 物理学 2014-11-18 L. -P. Lamoureux , N. J. Cerf

The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quantum logics with a conditional probability calculus in a rather abstract, though simple and basic fashion without relying on a tensor product…

量子物理 · 物理学 2015-08-14 Gerd Niestegge

This paper questions the generally accepted assumption that one can make a random choice that is independent of the rest of the universe. We give a general description of any setup that could be conceived to generate random numbers. Based…

量子物理 · 物理学 2016-08-31 Hitoshi Inamori

We propose new optimality criterion for the estimation of state-dependent cloning. We call this measure the relative error because the one compares the errors in the copies with contiguous size taking into account the similarity of states…

量子物理 · 物理学 2007-05-23 A. E. Rastegin

We consider a disentanglement process in which local properties of an entangled state are preserved, while the entanglement between the subsystems is erased. Sufficient conditions for a perfect disentanglement (into product states and into…

量子物理 · 物理学 2008-12-18 Tal Mor , Daniel R. Terno

We discuss (im)possibility of the exact cloning of orthogonal but genuinely entangled three qubit states aided with entangled ancila under local operation and classical communication. Whereas any two orthogonal GHZ states taken from the…

量子物理 · 物理学 2009-11-13 Sujit K. Choudhary , Guruprasad Kar , Samir Kunkri , Ramij Rahaman , Anirban Roy

In this work, we introduce a novel state-dependent quantum cloning (copying) process by introducing a new class of ancillary system -- an adaptive ancilla -- modifying the conventional state-dependent quantum copying process. This…

量子物理 · 物理学 2026-01-26 Guruprasad Kadam

The inherent limitations of physical processes prevent the copying of arbitrary quantum states. Furthermore, even if we only aim to clone two distinct quantum states, it remains impossible unless they are mutually orthogonal. To overcome…

量子物理 · 物理学 2025-07-24 Zhi-Hao Bi , Jing-Tao Qiu , Xiao-Dong Yu

We show that it is possible to clone quantum states to arbitrary accuracy in the presence of a Deutschian closed timelike curve (D-CTC), with a fidelity converging to one in the limit as the dimension of the CTC system becomes large---thus…

量子物理 · 物理学 2014-07-31 Todd A. Brun , Mark M. Wilde , Andreas Winter

We establish a connection between optimal quantum cloning and optimal state estimation for d-dimensional quantum systems. In this way we derive an upper limit on the fidelity of state estimation for d-dimensional pure quantum states and,…

量子物理 · 物理学 2009-10-31 D. Bruss , C. Macchiavello

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

We propose a protocol where one can exploit dual quantum and classical channels to achieve perfect ``cloning'' and ``orthogonal-complementing'' of an unknown state with a minimal assistance from a state preparer (without revealing what the…

量子物理 · 物理学 2008-12-18 Arun Kumar Pati

Quantum state exclusion is the task of identifying at least one state from a known set that was not used in the preparation of a quantum system. A set of quantum states is said to admit state exclusion if there exists a measurement whose…

量子物理 · 物理学 2026-02-06 Debanjan Roy , Tathagata Gupta , Pratik Ghosal , Samrat Sen , Somshubhro Bandyopadhyay

Pure state of a physical system can be prepared in an infinite number of ways. Here, we prove that given a pure state of a quantum system it is impossible to distinguish two preparation procedures. Further, we show that if we can…

综合物理 · 物理学 2025-04-30 Arun Kumar Pati

We investigate the cases where a set $S$ of states $\{\ket{\psi_i} \}$ cannot be cloned by itself, but is clonable with the help of another system prepared in state $\hat{\rho}_i$. When $S$ is pair-wise nonorthogonal, it is known that one…

量子物理 · 物理学 2007-05-23 Koji Azuma , Masato Koashi , Hosho Katsura , Nobuyuki Imoto

Cloning of observables, unlike standard cloning of states, aims at copying the information encoded in the statistics of a class of observables rather then on quantum states themselves. In such a process the emphasis is on the quantum…

量子物理 · 物理学 2007-08-08 Alessandro Ferraro , Matteo G A Paris

We discuss the exact cloning of orthogonal but entangled qubits under local operations and classical communication. The amount of entanglement necessary in blank copy is obtained for various cases. Surprisingly this amount is more than 1…

量子物理 · 物理学 2009-11-13 Sujit K. Choudhary , Samir Kunkri , Ramij Rahaman , Anirban Roy

We extend the concept of the relative error to mixed-state cloning and related physical operations, in which the ancilla contains some a priori information about the input state. The lower bound on the relative error is obtained. It is…

量子物理 · 物理学 2009-11-07 A. E. Rastegin

The inability to produce two perfect copies of an unknown state is inherently linked with the inability to produce maximal entanglement between multiple spins. Despite this, there is no quantitative link between how much entanglement can be…

量子物理 · 物理学 2009-07-27 Alastair Kay , Dagomir Kaszlikowski , Ravishankar Ramanathan

We propose a scheme to enhance the fidelity of symmetric quantum cloning machine using a weak measurement. By adjusting the intensity of weak measurement parameter $p$, we obtain the copies with different optimal fidelity. Choosing proper…

量子物理 · 物理学 2019-01-23 Ming-Hao Wang , Qing-Yu Cai