Quantum Bit Modalities/Architectures

Author(s):  
Cornelius Hempel

This is an advance summary of a forthcoming article in the Oxford Research Encyclopedia of Physics. Please check back later for the full article. The theory of quantum mechanics provides an accurate description of nature at the fundamental level of elementary particles, such as photons, electrons, and larger objects like atoms, molecules, and more macroscopic systems. Any such physical system with two distinct energy levels can be used to represent a quantum bit, or qubit, which provides the equivalent to a classical bit within the context of quantum mechanics. As such, a qubit can be in a well-defined physical state representing one “classical bit” of information. Yet, it also allows for fundamental quantum phenomena such as superposition and mutual entanglement, making these effects available as a resource. Quantum information processing aims to use qubits and quantum effects to attain an advantage in computation and simulation, communication, or the measurement of physical parameters. Much like the classical bits realized by transistors in silicon are at the foundation of many modern devices, quantum bits form the building blocks out of which quantum devices can be constructed that allow for the use of qubits as a resource. Since the 1990s, many physical systems have been investigated and prototyped as quantum bits, leading to implementations that range from photonics, to atoms and , as well as solid state devices in the form of tailored impurities in a material or superconducting electrical circuits. Each physical approach differs in how the quantum bits are stored, how they are being manipulated, and how quantum states are read out. Research in this area is often cross-cutting between different areas of physics, often covering atomic, optical, and solid state physics and combining fundamental with applied science and engineering. Tying these efforts together is a joint set of metrics that describes the qubits’ ability to retain a quantum mechanical state and the ability to manipulate and read out this state. Examples are phase coherence and fidelity of measurement and operations. Further aspects include the scalability with respect to current technological capabilities, speed, and amenability to error correction.

Mott, Sir Nevill. Born Leeds 1905. Studied theoretical physics under R. H. Fowler in Cambridge, in Copenhagen under Niels Bohr and in Gottingen. Professor of Theoretical Physics in Bristol 1933-54, and Cavendish Professor of Physics, Cambridge 1954-71. Nobel Prize for Physics 1977. Author of several books and research papers on application of quantum mechanics to atomic collisions and since 1933 on problems of solid state science


Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 273
Author(s):  
Maurice Kibler

The aim of the present paper is twofold. First, to give the main ideas behind quantum computing and quantum information, a field based on quantum-mechanical phenomena. Therefore, a short review is devoted to (i) quantum bits or qubits (and more generally qudits), the analogues of the usual bits 0 and 1 of the classical information theory, and to (ii) two characteristics of quantum mechanics, namely, linearity, which manifests itself through the superposition of qubits and the action of unitary operators on qubits, and entanglement of certain multi-qubit states, a resource that is specific to quantum mechanics. A, second, focus is on some mathematical problems related to the so-called mutually unbiased bases used in quantum computing and quantum information processing. In this direction, the construction of mutually unbiased bases is presented via two distinct approaches: one based on the group SU(2) and the other on Galois fields and Galois rings.


1976 ◽  
Vol 85 (1) ◽  
pp. 38-42 ◽  
Author(s):  
Lionel Naftalin

A new approach is described to the problem of hearing at energy levels near threshold. Models depending on the macro-physics of levers are rejected. Instead, evidence is presented for frequency analysis, signal placement and energy transduction by the properties (known or experimentally determined) of the cochlea and of the structures within the scala media. The hypothesis developed rests on the established theorems of Gabor and Brillouin, and at the same time is based on the data of enzymology. Care is taken not only that the hypothesis does not conflict but that it is actually consonant with recent solid state physics. The cochlea by virtue of its internal geometry and contained column of fluid is considered to perform a Fourier analysis to a first approximation. This crude “placement” of the acoustic signal is refined by the semi-solid-state lattice of the tectorial membrane which far from permitting dissipation of the signal energy actually “concentrates” the energy at the membrane surface of the hair processes of a hair cell. Here biochemical transduction, akin to the processes known for other sensory cells, transforms acoustic energy through an ion-shuttling mechanism to the form of energy characteristic of living cells, viz. enzyme conformational changes.


Peierls, Sir Rudolf Ernst. Born Berlin 1907. Studied at Berlin, Munich and Leipzig. From 1932 held research positions in Manchester and Cambridge. Was Professor of mathematical physics in Birmingham and Oxford. Knighted 1968. Author of many papers applying quantum mechanics to problems in solid state and in particle physics', author of Quantum theory of solids, 1955. Author with 0. R. Frisch in 1940 of ‘ Confidential memorandum to British Government on possibility and critical size of nuclear bomb'.


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