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Quantum Computing to Enhance Performance of Machine Learning Algorithms
Published in B. K. Mishra, Samarjeet Borah, Hemant Kasturiwale, Computing and Communications Engineering in Real-Time Application Development, 2023
Shiwani Gupta, Namrata D. Deshmukh
A quantum is the least amount of a physical quantity that may exist independently. Quantum mechanics is the collection of scientific laws that describe the behavior of subatomic particles, for example, photons or neutrons.
Encryption Algorithms for Cloud Computing and Quantum Blockchain
Published in Thiruselvan Subramanian, Archana Dhyani, Adarsh Kumar, Sukhpal Singh Gill, Artificial Intelligence, Machine Learning and Blockchain in Quantum Satellite, Drone and Network, 2023
Prabhsharan Kaur, Isha Sharma, Rahul Kumar Singh
This technology would result in unforeseeable improvements in the technologies we use every day. The elimination of security problems connected with cloud computing would have been the most significant benefit. This security would be provided via quantum cryptography, which would be an intrinsic characteristic of quantum computing. Quantum cryptography is a technology that uses quantum mechanics to provide information security. The inviolability of quantum physics laws provides the foundation for information security.
Cryptography
Published in Paul L. Goethals, Natalie M. Scala, Daniel T. Bennett, Mathematics in Cyber Research, 2022
Gretchen L. Matthews, Aidan W. Murphy
At present time, we do not have large-scale quantum computers capable of running Shor's Algorithm on reasonably sized problems. However, more and more attention is being paid to the impact of quantum algorithms on cryptographic protocols, especially as we enter an era in which some entities may have access to powerful quantum computing before others. In this timeframe, most (if not all) communications will be conducted via classical methods, while some more financially potent or dominant parties would have the power to intercept and decipher messages meant for others. It is also the case that large amounts of information communicated or generated today may be stored in anticipation of the ability to decrypt when quantum computing is more viable, in what is sometimes termed a download now, decrypt later attack. Post-quantum cryptography is a way of securing classical information, meaning strings of elements from a finite alphabet, that is believed to be robust even in the presence of quantum algorithms. A distinction must be made between post-quantum cryptography and quantum cryptography. Quantum cryptography uses quantum mechanics to securely communicate. It comes with the promise of provably secure communications and the ability to detect eavesdropping. This would obviously be a major scientific advance, but it is not yet within reach. For those reasons, we focus on post-quantum cryptography. This is portrayed in Figure 2.1.
A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method
Published in Inverse Problems in Science and Engineering, 2020
Fan Yang, Jun-Liang Fu, Xiao-Xiao Li
Schrödinger equation is a basic physical equation describing the behaviour of non-relativistic quantum mechanics. It is also often referred to as Schrödinger wave equation, which is a partial differential equation describing the evolution of wave functions of physical systems with time [1]. And it plays an important role in some physical phenomena, such as the propagation of optical pulses, superconductivity, waves in water and plasmas and self focusing in laser pulses. As a simple form of Schrödinger equation, the potential-free field Schrödinger equation has important applications in calculating the energy levels of hydrogen atoms and harmonic oscillators [2,3], the solution of airy wavepackets [4]. In this paper, we consider the following potential-free field inverse Schrödinger problem with boundary condition where is the imaginary unit.
Rome teleportation experiment analysed in the Wigner representation: the role of the zeropoint fluctuations in complete one-photon polarization-momentum Bell-state analysis
Published in Journal of Modern Optics, 2018
A. Casado, S. Guerra, J. Plácido
Since the beginning of the quantum information theory, the possibility of transferring an unknown quantum state by using the fundamental properties of quantum mechanics has represented one of the most important goals to achieve (1). Quantum teleportation is based on two distinctive features of quantum mechanics: entanglement and the projection postulate. These properties, along with the classical communication channel between Alice (the sender) and Bob (the receiver), allows for the possibility of performing teleportation. Nowadays, teleportation constitutes an essential piece for the development of quantum computing and quantum communication (2–5). Similar to quantum teleportation is remote state preparation, in which Alice has complete classical knowledge of the state she wants to transmit. This distinction implies that remote state preparation reveals a non-trivial trade-off between entanglement and classical communication (6–8).
The first iteration of Grover's algorithm using classical light with orbital angular momentum
Published in Journal of Modern Optics, 2018
Benjamin Perez-Garcia, Raul I. Hernandez-Aranda, Andrew Forbes, Thomas Konrad
Quantum mechanics offers an elegant way to accurately describe the physics of particles at the atomic and the subatomic level, which radically differs from the paradigm of classical mechanics to describe macroscopic particles. In fact, the physics of quantum particles governed by the superposition principle and showing interference phenomena seems closer related to classical fields obeying wave equations than to the behaviour of macroscopic mechanical objects. For instance, the Schrödinger equation describing the diffusion of the wave function of a free quantum particle on a plane resembles the wave equation of paraxial light diverging from an optical object. These similarities can be used to implement certain quantum mechanical applications with classical light instead. For example, classical optics schemes to realize quantum walks in one dimension (1, 2, 3) as well as in multiple dimensions (4) have been proposed and the real-time tomography of noisy single-photon channels by means of classical light was experimentally tested (5).