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Quantum Teleportation using Pseudorandom Number based Quantum Tricks

Sai Venkatesh Balasubramanian

Published Oct 1, 2015• 0 citations
OpenAlex

Abstract

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.

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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.
The present work explores a radically new perspective exploiting the advantages of quantum computation using classical systems. Termed ‘Quantum Tricks’, the essence of the technique is replacing the inherent probabilistic nature of a qubit with a pseudorandom generator, resulting in the implementation of basic Quantum Gates such as the Pauli X, Y, Z, Hadamard and CNOT gates using extremely simple mathematical operations followed by an implementation of entanglement. Following this, a brief overview of the concept of cellular automata and associated rules is presented. Finally, the ‘Quantum Trick Cellular Automata’ (QTCA) concept is formulated, differing from the classical cellular automata in two aspects - presence of superposed states other than 1 and 0, and implementation of above mentioned quantum gates. It is seen that QCTA comprising of CNOT and Entanglement operations give rise to rich, complex and ornamental patterns, characteristic of the underlying chaos. The extreme simplicity of the proposed design coupled with its efficacy in implementing rich patterns using cellular automata concepts form the highlights of the present work.
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.
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.
Quantum computing is a new way of doing things that uses quantum mechanics to do things that classical systems can't. These things include superposition, entanglement, and interference. Quantum teleportation is one of the most basic protocols that shows how the full quantum state of a qubit can be sent to a different place without moving the particle. It only uses shared entanglement and a classical communication channel. Even though this protocol is theoretically beautiful, it is still hard for students and new researchers to picture and understand it on their own. This paper describes an interactive quantum circuit simulator that runs on the web and was made with Python Flask, IBM's Qiskit library, and Three.js. It was made to show quantum teleportation in real time. Through a browser interface, users can build quantum circuits, use standard gates like Hadamard, Pauli-X, Pauli-Z, CNOT, and multiqubit gates, and see dynamic Bloch sphere updates that show how the state of the qubit changes after each operation. The backend uses Qiskit's statevector simulator to make sure the math is right, and the frontend, which is powered.by Three.js, shows quantum states in three-dimensional geometric forms. Testing confirms that the simulation fidelity is close to 1 under ideal conditions, which means that the protocol was implemented correctly. The proposed framework makes it easier to get into quantum education by getting rid of complicated local setup requirements and giving immediate visual feedback. This makes it easier to go from quantum theory to hands-on experimentation
Quantum teleportation is a new method in quantum communication that allows quantum states to be sent securely using entanglement and classical signals. This research focuses on problems like maintaining strong entanglement, dealing with quantum noise (decoherence) and handling delays in classical communication, which currently limit practical applications. To solve these problems, we built and tested a quantum teleportation circuit using simulation tools and visualized the results using Bloch spheres and statevector analysis. Our results show that quantum states can be teleported accurately while preserving their properties. This proves quantum teleportation is practically achievable and can be used in secure communication, quantum networks, and quantum computers, making it an important step towards building a reliable quantum internet.
Quantum teleportation transfers and processes quantum information through quantum entanglement channels. It is one of the most versatile protocols in quantum information science and leads to many remarkable applications, particularly the one-way quantum computing. Here, we show, for the first time, that the concept of teleportation can also be used to facilitate an important classical computing task, sampling random quantum circuits, which is highly relevant to prove the near-term demonstration of quantum computational supremacy. In our method, the classical computation in the physical-qubit state space is converted to simulate teleportation in logical-qubit state space, resulting in a much smaller number of qubits involved in classical computing. We tested this new method on 1D and 2D lattices up to 1000 qubits. This Letter presents a new quantum-inspired classical computing technology and is helpful to design and optimize classically hard quantum sampling experiments.