One of the most successful theories of modern physics, quantum mechanics has undergone rigorous testing and validation, one of the primary motives being fanciful and informative applications of quantum information theory such as teleportation and superdense coding. Over the years, many explanations have been given for the mechanism and interpretation of the various quirks and mysteries of quantum mechanics, the latest entrant being a suggestion of nonlinearity and chaos underlying quantum mechanics. The present work purports to a formulation of quantum bit as a SU(2) Lie Group using a Chua’s chaos generator circuit as the basis. PSPICE simulations of the same are performed. Various basic quantum gates such as the Pauli X, Y, Z, Hadamard and CNOT gates are implemented using this formulation. Finally, the chaos-qubit formulation is validated using a real time application – quantum teleportation. The ability to successfully demonstrate the teleportation of a single qubit numerically suggests that the chaotic interpretation of quantum mechanics has some validity. Furthermore, it ushers in the era of low cost, high capacity, high security information systems using nonlinear electrical circuits.
One of the most successful theories of modern physics, quantum mechanics has undergone rigorous testing and validation, one of the primary motives being fanciful and informative applications of quantum information theory such as teleportation and superdense coding. Over the years, many explanations have been given for the mechanism and interpretation of the various quirks and mysteries of quantum mechanics, the latest entrant being a suggestion of nonlinearity and chaos underlying quantum mechanics. The present work purports to a formulation of quantum bit as a SU(2) Lie Group using a Chua’s chaos generator circuit as the basis. PSPICE simulations of the same are performed. Various basic quantum gates such as the Pauli X, Y, Z, Hadamard and CNOT gates are implemented using this formulation. Finally, the chaos-qubit formulation is validated using a real time application – quantum teleportation. The ability to successfully demonstrate the teleportation of a single qubit numerically suggests that the chaotic interpretation of quantum mechanics has some validity. Furthermore, it ushers in the era of low cost, high capacity, high security information systems using nonlinear electrical circuits.
The present work purports to the proposal and elucidation of a novel kind of logic, where the apparent „practical uncertainty ‟ of chaos is effectively harnessed in the form of S-Bits, or Simultaneous Bits, to achieve quantum computation like effects. Specifically, it is seen that a single NMOSFET possessed the sufficient nonlinearity to generate a signal driven chaos, which is then proposed as similar to the superposed state of a qubit, and hence termed “S-Bits”. The measurement/collapse operations are performed using hysteresis, achieved using back-to-back MOS Varactors. Using these formulations, various quantum and reversible logic gates such as the three Pauli Rotation Gates, Hadamard Gate, CNOT and TOFFOLI gates are implemented in hardware level using extremely simple circuitry. Following this, the phenomenon of entanglement using S-bits is discussed, followed by implementations of quantum teleportation and superdense coding. The results reveal the effective reproduction of quantum computation applications using simple circuitry involving the S-Bit analogue, thus ushering in the golden era of affordable quantum computing. 1.
The present work purports to a radically new perspective towards exploiting the advantages of quantum computation using classical systems. Termed ‘Quantum Tricks’, the technique relies on replacing the inherent probabilistic nature of the qubit with a pseudorandom generator. Using this, extremely simple mathematical operations are developed to implement basic Pauli X, Y and Z gates, using FPGA. Following this, entanglement is implemented and a real life application of quantum computing, namely Quantum Teleportation is implemented using the ‘QTrick Bits’. It is seen that the QTrick Bits are able to implement the teleportation with a remarkable degree of accuracy. Nonlinear characterization of the entangled states reveal the presence of chaos, thus providing subtle hints towards understanding the QTrick signal behavior. The extreme simplicity of the proposed design coupled with its efficacy in implementing quantum teleportation accurately form the highlights of the present work.
This paper presents a novel approach to data compression utilizing the principles of quantum chaos. We propose a system leveraging quantum bits (qubits) and quantum gates to generate high-quality, high-randomness pseudorandom number sequences. The core concept involves harnessing the deterministic yet unpredictable nature of quantum chaos, combined with quantum entanglement and quantum teleportation, to achieve lossless data compression. The system's design addresses the limitations of traditional chaotic generators, particularly their susceptibility to prediction based on initial conditions. The integration of quantum mechanics introduces an inherent level of complexity that significantly enhances the randomness of the generated sequences. We detail the mathematical framework underlying the system, including the equations governing the chaotic system and the protocols for quantum entanglement and teleportation. The proposed method offers a pathway towards secure and efficient data compression, potentially revolutionizing data storage and transmission technologies. The primary focus is on the theoretical development and mathematical formulation of the system, omitting experimental validation.
Quantum teleportation is one of basis study of quantum computing algorithms mostly used in quantum communication. This algorithm has so far been implemented using a variety of quantum realization models. In this study, quantum teleportation algorithm is realized experimentally using classical LC circuits. In addition, electrical simulation of some quantum gates such as Hadamard and CNOT gates used in algorithm are also given. The importance of implementation of such quantum algorithms onto classical electrical circuit is that it is being inexpensive and can work at room temperature. This study can contribute greatly to the experimental teaching of the emerging quantum technology revolution to students.
The strange and often counter-intuitive aspects of quantum mechanics such as collapse and entanglement have led to a series of interpretations of the reality expressed by the discipline. The present work purports to the formulation and postulation of a new interpretation of quantum mechanics, one that stems from the principles of chaos theory. Specifically, the superposed state in a quantum system is viewed as an equivalent of a chaotic signal, whose collapse is decided procedurally by the initial conditions and timing-wise by the process of measurement. The basic postulates of quantum mechanics and a glimpse of entanglement is viewed in this perspective. Following this, the proposed chaotic interpretation is compared with other standard interpretations in light of various properties such as determinism, locality, realism, counterfactual definiteness, and hidden variables. The novel perspective of quantum mechanics fundamentals through chaos theory, where the latter has undergone significant progress in terms of studying the system ehaviour using standard tools and evolutionary patterns, offers a plethora of interesting and exciting options to study the hidden realities of nature.
Although classical computing has brought great convenience to mankind’s lives, classical computing is facing some problems. Combining computer science, information theory, and quantum mechanics, quantum information has been developed in many fields. Quantum gates can operate quantum bits, the carrier of quantum information, while quantum circuits are composed of quantum gates and quantum bits, showing the logic of operations. This study summarizes the fundamental concepts of quantum informatics: qubits, quantum circuits, and quantum gates where it is proved that single-bit quantum gates and CNOT gates are universal quantum gates. In addition, this research also demonstrates the current progress of quantum gates in the examination of fidelity of quantum gates, improvement of fidelity of quantum gates, and teleportation of quantum gates. Meanwhile, according to the current development status, the limits and prospects of quantum information are discussed. These results shed light on helping readers understand the basic concepts of quantum information, thus understand the future applications and developments in quantum information.