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arXiv:1012.1993

A reconfigurable spintronic device for quantum and classical logic

Debanjan Bhowmik, Aamod Shanker, Angik Sarkar, Tarun Kanti Bhattacharyya

Published Dec 9, 2010• 0 citations
arXivHTMLPDF

Abstract

Quantum superposition and entanglement of physical states can be harnessed to solve some problems which are intractable on a classical computer implementing binary logic. Several algorithms have been proposed to utilize the quantum nature of physical states and solve important problems. For example, Shor's quantum algorithm is extremely important in the field of cryptography since it factors large numbers exponentially faster than any known classical algorithm. Another celebrated example is the Grovers quantum algorithm. These algorithms can only be implemented on a quantum computer which operates on quantum bits (qubits). Rudimentary implementations of quantum processor have already been achieved through linear optical components, ion traps, NMR etc. However demonstration of a solid state quantum processor had been elusive till DiCarlo et al demonstrated two qubit algorithms in superconducting quantum processor. Though this has been a significant step, scalable semiconductor based room temperature quantum computing is yet to be found. Such a technology could benefit from the vast experience of the semiconductor industry. Hence, here we present a reconfigurable semiconductor quantum logic device (SQuaLD) which operates on the position and spin degree of freedom of the electrons in the device. Based on a few recent experiments, we believe SQuaLD is experimentally feasible. Moreover, using a well known quantum simulation method, we show that quantum algorithms (such as Deutsch Jozsa, Grover search) as well as universal classical logic operations (such as NAND gate) can be implemented in SQuaLD. Thus, we argue that SQuaLD is a strong candidate for the future quantum logic processor since it also satisfies the DiVincenzo criteria for quantum logic application as well as the five essential characteristics for classical logic applications.

DOI
10.48550/arxiv.1012.1993

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Quantum superposition and entanglement of physical states can be harnessed to solve some problems which are intractable on a classical computer implementing binary logic. Several algorithms have been proposed to utilize the quantum nature of physical states and solve important problems. For example, Shor's quantum algorithm is extremely important in the field of cryptography since it factors large numbers exponentially faster than any known classical algorithm. Another celebrated example is the Grovers quantum algorithm. These algorithms can only be implemented on a quantum computer which operates on quantum bits (qubits). Rudimentary implementations of quantum processor have already been achieved through linear optical components, ion traps, NMR etc. However demonstration of a solid state quantum processor had been elusive till DiCarlo et al demonstrated two qubit algorithms in superconducting quantum processor. Though this has been a significant step, scalable semiconductor based room temperature quantum computing is yet to be found. Such a technology could benefit from the vast experience of the semiconductor industry. Hence, here we present a reconfigurable semiconductor quantum logic device (SQuaLD) which operates on the position and spin degree of freedom of the electrons in the device. Based on a few recent experiments, we believe SQuaLD is experimentally feasible. Moreover, using a well known quantum simulation method, we show that quantum algorithms (such as Deutsch Jozsa, Grover search) as well as universal classical logic operations (such as NAND gate) can be implemented in SQuaLD. Thus, we argue that SQuaLD is a strong candidate for the future quantum logic processor since it also satisfies the DiVincenzo criteria for quantum logic application as well as the five essential characteristics for classical logic applications.
Abstract Quantum computers, which take advantage of the superposition and entanglement of physical states, could outperform their classical counterparts in solving problems with technological impact such as factoring large numbers and searching databases. A quantum processor executes algorithms by applying a programmable sequence of gates to an initialized state of qubits, which coherently evolves into a final state containing the result of the computation. Although quantum processors with a few qubits have been demonstrated on multiple quantum computing platforms, realization of solid-state programmable quantum processor under ambient conditions remains elusive. Here we report a programable quantum processor that can be programmed with fifteen parameters to realize arbitrary unitary transformations on two spin qubits in a nitrogen-vacancy (NV) center in diamond. We implemented the Deutsch-Jozsa and Grover search algorithms with average success rates above 80%. The results pave the way to implement the programmable method in a large-scale quantum processor.
Superposition, entanglement, and interference are used in quantum computing to solve issues that cannot be solved by traditional computation. Qubits, in contrast to conventional bits, can exist in several states, allowing for exponential parallelism. Its revolutionary impact is demonstrated by quantum gates and algorithms, such as Grover's for search and Shor's for factorization. There are issues with error correction, scalability, and coherence in all of the physical platforms that have been established, such as spin-based qubits, photonic systems, trapped ions, and superconducting circuits. Progress is accelerated by developments in cloud-based services and hybrid quantum-classical computing. Numerous fields, including artificial intelligence, optimization, drug development, and cryptography, can benefit greatly from quantum computing. Classical encryption is under danger from quantum algorithms, which is why quantum-resistant protocols are being developed. Quantum simulation transforms molecular modeling in chemistry and materials science, supporting energy and medical research. Data analysis and pattern recognition are further advanced by quantum-enhanced machine learning. Although still in its infancy, qubit scalability and error correction research is propelling advancements. Quantum computing is still a major area of research and development because of its potential to revolutionize computation and lead to ground-breaking developments in a variety of domains.
Superconducting (SC) electronics (SCE) is one of the major requirements to develop a large-scale practical quantum computing system. (Figs. 1(a)) [1]. Currently, a room temperature conventional computer is used as the control processor which requires a huge number of lossy interconnects to connect with the qubits placed at a few millikelvin temperatures. This, in turn, limits the scalability of the quantum computing system up to hundreds of qubits which is not enough to achieve the full potential [2]. Therefore, along with a suitable cryogenic memory, a cryogenic (preferably superconducting) control processor is required to develop a quantum computing system with thousands of qubits. Moreover, SCE offers ultra-fast (hundreds of gigahertz) and highly energy efficient (sub attojoule/bit) performance [3]. Therefore, SCE is projected to achieve the department of energy (DOE) exascale goal which the conventional supercomputers failed to achieve (Fig. 1(b)) [4]. However, Josephson junction-based SC circuits suffer from limited integration density due to flux trapping, difficulty in driving large impedances, fanning out digital signals, and operating in noisy environments [5]. To address these existing issues, here, we present a novel reconfigurable SC logic circuit using a nano-cryotron (nTron) that can perform 1-input copy, 2-input AND and OR, and 3-input majority logic functionalities. This work can enable the implementation of highly scalable and energy-efficient SC processor since the use of only one device. To achieve the reconfigurable nature of the logic circuit, we utilize the multi-gate switching of nTron.
Quantum computing, based on different principles than classical computing, has raised high expectations regarding the increase of computational speed in nano-sized quantum systems. Therefore, the search for implementations of quantum logic gates in photons, spin states, atom/ion traps or superconducting materials, for example, is a very active research area. Graphene has demonstrated already the possibility of implementing reversible logic gates, therefore becoming a compelling candidate for quantum computing applications. The paper presents several proposals of quantum logic gates implementation in graphene, which could work at room temperature and require only current measurements as readout procedures; examples of such quantum gates are Hadamard, C-NOT, C-phase and Toffoli gates. Besides these gates, it is shown that quantum algorithms, such as the modified Deutsch-Jozsa algorithm, can be implemented also in graphene.
Quantum computing is expected to increase significantly the computational speed since it operates on completely different principles in comparison to classical computers. Quantum computing can be implemented in small, nano-sized systems, such as trapped atom or ions, spin states, superconductors or conductors in the ballistic transport regime. In particular, graphene is a suitable material for implementing quantum logic gates due to its large room-temperature mean free path. Several graphene-based configurations of quantum gates such as Hadamard, C-phase, C-NOT, and universal Toffoli gates, as well as of a modified Deutsch-Jozsa quantum algorithm are presented in this paper. In all cases, the quantum logic circuits operate at room temperature and the readout procedure implies current measurements only.
Any physical implementation of quantum information processing is known to be extremely demanding. One should be able to perform long coherent quantum manipulations (gating), precise quantum-state synthesis, and detection as well. Ever since the very beginning it has been recognized that the major obstacle arises from the unavoidable open character of any realistic quantum system. The coupling with external (i.e. non-computational) degrees of freedom spoils the unitary structure of quantum evolution, which is the crucial ingredient in quantum computation (QC). The only existing experimental realizations of quantum processors are based on quantum optics and atomic/molecular systems. It is however generally believed that future applications of quantum information may hardly be realized in terms of such systems, which do not permit the large-scale integration of existing microelectronics technology. In contrast, in spite of the serious difficulties related to the fast decoherence times, a solid-state implementation of QC seems to be the only way to benefit synergistically from the recent progress in ultrafast optoelectronics as well as in nanostructure fabrication and characterization. Following this spirit, we shall propose and discuss potential implementations of quantum computation/information based on semiconductor nanostructures. More specifically, as originally envisioned Zanardi and Rossi, 1 we shall present an all-optical implementation of QC based on semiconductor macroatoms. 2 In this context we shall discuss a number of excitonic encoding schemes based on charge and/or spin degrees of freedom. In particular, we shall review a novel implementation scheme 3 which merges ideas from both the fields of spintronics and optoelectronics and sets the stage for an all optical semiconducting spin based quantum information processing.