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International Journal for Research in Applied Science and Engineering Technology

High-Dimensiоnаl Quаntum Сlоning

Kulsum Khan S. A

Published Jul 20, 2021• 0 citations
Publisher

Abstract

Tries at cloning a quantum tool result in the arrival of imperfections in the nation of the copies. this is a outcome of the no-cloning theorem, that is a vital law of quantum physics and the spine of protection for quantum communications. in spite of the reality that ideal copies are prohibited, a quantum country may be copied with maximal accuracy through severa most top notch cloning schemes. maximum beneficial quantum cloning, which lies at the border of the bodily restrict imposed by way of the no-signaling theorem and the Heisenberg uncertainty principle, has been experimentally found out for low-dimensional photonic states. however, an growth in the dimension-ality of quantum structures is notably beneficial to quantum computation and communication protocols. despite the reality that, no experimental demonstration of most beneficial cloning machines has hitherto been shown for excessive-dimensional quantum systems. We carry out most proper cloning of excessive-dimensional photonic states thru the symmetrization approach. We display the universality of our technique thru carrying out cloning of numerous arbi-trary enter states and really signify our cloning tool with the useful resource of appearing quantum nation tomography on cloned photons. similarly, a cloning assault on a Bennett and Brassard (BB84) quantum key distribution protocol is ex-perimentally showed to expose the robustness of excessive-dimensional states in quantum cryptography.

DOI
10.22214/ijraset.2021.36696

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Tries at cloning a quantum tool result in the arrival of imperfections in the nation of the copies. this is a outcome of the no-cloning theorem, that is a vital law of quantum physics and the spine of protection for quantum communications. in spite of the reality that ideal copies are prohibited, a quantum country may be copied with maximal accuracy through severa most top notch cloning schemes. maximum beneficial quantum cloning, which lies at the border of the bodily restrict imposed by way of the no-signaling theorem and the Heisenberg uncertainty principle, has been experimentally found out for low-dimensional photonic states. however, an growth in the dimension-ality of quantum structures is notably beneficial to quantum computation and communication protocols. despite the reality that, no experimental demonstration of most beneficial cloning machines has hitherto been shown for excessive-dimensional quantum systems. We carry out most proper cloning of excessive-dimensional photonic states thru the symmetrization approach. We display the universality of our technique thru carrying out cloning of numerous arbi-trary enter states and really signify our cloning tool with the useful resource of appearing quantum nation tomography on cloned photons. similarly, a cloning assault on a Bennett and Brassard (BB84) quantum key distribution protocol is ex-perimentally showed to expose the robustness of excessive-dimensional states in quantum cryptography.
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 quantum communications. Although perfect copies are prohibited, a quantum state may be copied with maximal accuracy via various optimal cloning schemes. Optimal quantum cloning, which lies at the border of the physical limit imposed by the no-signaling theorem and the Heisenberg uncertainty principle, has been experimentally realized for low-dimensional photonic states. However, an increase in the dimensionality of quantum systems is greatly beneficial to quantum computation and communication protocols. Nonetheless, no experimental demonstration of optimal cloning machines has hitherto been shown for high-dimensional quantum systems. We perform optimal cloning of high-dimensional photonic states by means of the symmetrization method. We show the universality of our technique by conducting cloning of numerous arbitrary input states and fully characterize our cloning machine by performing quantum state tomography on cloned photons. In addition, a cloning attack on a Bennett and Brassard (BB84) quantum key distribution protocol is experimentally demonstrated to reveal the robustness of high-dimensional states in quantum cryptography.
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 quantum communications. Although such perfect copies are prohibited, a quantum state may be copied with maximal accuracy via various optimal cloning schemes. Optimal quantum cloning, which lies at the border of the physical limit imposed by the no-signalling theorem and the Heisenberg uncertainty principle, has been experimentally realized for low dimensional photonic states. However, an increase in the dimensionality of quantum systems is greatly beneficial to quantum computation and communication protocols. Nonetheless, no experimental demonstration of optimal cloning machines has hitherto been shown for high-dimensional quantum systems. Here, we perform optimal cloning of high-dimensional photonic states by means of the symmetrization method. We show the universality of our technique by conducting cloning of numerous arbitrary input states, and fully characterize our cloning machine by performing quantum state tomography on \emph{cloned} photons. In addition, a cloning attack on a Bennett and Brassard (BB84) quantum key distribution protocol is experimentally demonstrated in order to reveal the robustness of high-dimensional states in quantum cryptography.
One of the main differences between classical and quantum information is that the former can be replicated. That is, we can easily obtain copies from classical bits but, while dealing with qubits and qudits, we are subject to Quantum Mechanic¿s rules, which determines that arbitrary quantum states cannot be perfectly copied. Still, we can use the so called Quantum Cloning Machines to try and obtain approximate copies with the highest Fidelity or perfect copies with bigger success rates. Those machines are also tools that can be used to study a variety of tasks like, for example, the security analysis of quantum cryptography protocols and quantum state discrimination. One of the aims of this work is to present a brief review of some research about the quantum cloning theory as well as previous discussions on non-cloning theorem, including Herbert¿s proposal for superluminal communication. This work¿s second aim is to analyse an experimental realization and is based on the optical implementation of the so-called optimal universal quan- tum cloning machines for hybrid ququarts encoded in the polarization and orbital angular momentum degrees of freedom of photons, proposed by Na- gali et al.{Phys. Rev. Lett. 105, 073602 }. The implementation is based on the Hong-Ou-Mandel effect and on the photons produced by Parametric Down Conversion. We presented all the concerned theory and obtained the theoretical Fidelity curve predicted by using the quantum state propagation through the optical elements present on the circuit. We also proposed an implementation change for the use of qudits encoded in transversal momen- tum.
Quantum theory fundamentally forbids the perfect copying of an arbitrary unknown quantum state, according to a principle known as the no-cloning theorem. Nevertheless, it is possible to construct a deterministic quantum map that produces multiple approximate copies of an unknown quantum state. This task is referred to as universal quantum cloning, further facilitating numerous quantum technologies such as quantum cryptography and quantum communication. In this work, we theoretically verify that the universal quantum cloning cannot be realized within a noncontextual theory, highlighting its intrinsically nonclassical nature. Our verification first {focuses on revealing that} 1→21\rightarrow21→2 cloning scenario {is fully contextual}, and {further covers general examples to observe the contextual behavior of} N→MN\rightarrow MN→M scenario. We believe that our results regarding quantum cloning serve a key role for understanding both quantum foundation and application.
No-cloning theorem is fundamental for quantum mechanics and for quantum information science that states an unknown quantum state cannot be cloned perfectly. However, we can try to clone a quantum state approximately with the optimal fidelity, or instead, we can try to clone it perfectly with the largest probability. Thus various quantum cloning machines have been designed for different quantum information protocols. Specifically, quantum cloning machines can be designed to analyze the security of quantum key distribution protocols such as BB84 protocol, six-state protocol, B92 protocol and their generalizations. Some well-known quantum cloning machines include universal quantum cloning machine, phase-covariant cloning machine, the asymmetric quantum cloning machine and the probabilistic quantum cloning machine etc. In the past years, much progress has been made in studying quantum cloning machines and their applications and implementations, both theoretically and experimentally. In this review, we will give a complete description of those important developments about quantum cloning and some related topics. On the other hand, this review is self-consistent, and in particular, we try to present some detailed formulations so that further study can be taken based on those results.