Cavity quantum electrodynamics cqed studies the properties of atoms coupled to discrete photon modes in high q cavities. Pra 82, 043612 2010 university of virginia condensed matter seminar feb 3, 2011. But if you learn griffiths completely, and also have knowledge of special relativity, in principle you can start with qft. Band, yshai avishai, in quantum mechanics with applications to nanotechnology and information science, 20. Jonsson, 1eduardo martnmart nez, 1,2 3 and achim kempf,2 3 4 1department of applied mathematics, university of waterloo, 200 university avenue w. Solid state approaches to quantum information processing and quantum computing. Pdf an introduction to quantum computing using cavity. An introduction to quantum computing using cavity qed concepts. Aug 04, 2003 based on resonant atomic interactions with classical fields and dispersive couplings with quantized cavity fields we discuss schemes for the implementation of certain quantum computing algorithms. Cavity quantum electrodynamics with andersonlocalized. Mar 12, 2010 the interaction between a single photon and a single quantized emitter is the core of cavity quantum electrodynamics qed and constitutes a node in a quantum information network 1, 2. It could in principle be used to construct a quantum computer the case of a single 2level atom in the cavity is mathematically described by the jaynescummings. We then discuss schemes to implement several important quantum algorithms such as the discrete quantum fourier transform qft algorithm and grovers quantum search algorithm based on. On the other hand, quantum optics describe the photon field in detail while approximating the matter systems via few levels.
Measurementbased quantum computation with mechanical oscillators related talks. It offers the possibility to realize an exceptionally strong coupling between arti. Dissipationassisted quantum computation in atomcavity. Schoelkopf1 1departments of physics and applied physics, yale university, new haven, connecticut 06520, usa 2department of physics, indiana university, bloomington, indiana. Universal quantum computing with arbitrary continuousvariable encoding 6.
Pdf scalable quantum computation with cavity qed systems. So far, cavity qed experiments have been realized with a wide range of twolevel systems, including atoms 3, ions 4, cooperpair boxes 5, and. Quantum information processing and quantum optics with. Cavity quantum electrodynamics scientific american. Quantum information and cavity qed principle of cavity qed experiments. Roomtemperature cavity quantum electrodynamics with strongly. It could in principle be used to construct a quantum computer. Optical approaches to quantum information processing and quantum computing. Sep 28, 2017 creating practical solidstate, quantum computers that operate at roomtemperature is a challenging task.
We solve the schr\\ odinger equation of the model in the weak coupling regime to construct the. We present here current progress in experiments for which single atoms are strongly coupled to the mode of a high finesse optical resonator. Strong coupling circuit qed quantum nonlinearities in. Quantum computation using circuit cavity qed phys 576, winter 2007. The interaction between a single photon and a single quantized emitter is the core of cavity quantum electrodynamics qed and constitutes a node in a quantum information network 1, 2. Pdf superadiabatic holonomic quantum computation in cavity qed. Computing with quantum logic a quantum gate couples two qubits through a conditional unitary operation if a is true, then do b. Possible schemes to implement the basic quantum gates for quantum computation have been presented based on cavity quantum electrodynamics qed systems. Schoelkopf1 1departments of physics and applied physics, yale university, new haven, connecticut 06520, usa 2department of physics, indiana university, bloomington, indiana 47405, usa.
Oct 26, 2015 quantum computing neutral atoms, molecules and cavity qed a. Cavity quantum electrodynamics cavity qed is the study of the interaction between light confined in a reflective cavity and atoms or other particles, under conditions where the quantum nature of light photons is significant. Code information in simple systems atoms, photons and use state superpositions and entanglement to. Oct 09, 2012 cavity qed processes engender an intimate correlation between the states of the atom and those of the field, and so their study provides new insights into quantum aspects of the interaction. Click download or read online button to get cavity quantum electrodynamics book now. Circuit cavity quantum electrodynamics cqed using superconducting resonators and josephson junction based qubits has demonstrated the essential building blocks of gate based quantum computing and quantum optics 1. Superconducting quantum circuit qed for quantum computing. Neutral atoms and molecules provide a promising test bed for the development of scalable general purpose quantum processors, and for quantum simulators as special purpose quantum computers involving a very large number of qubits. In this paper we treat a cavity qed quantum computation. Circuit quantum electrodynamics circuit qed, and the closely related field of cavity quantum electrodynamics cavity qed, are growing areas of modern theoretical and experimental physics which have found a range of exciting applications from the construction of nascent quantum computers to the study of fundamental quantum. We show how to implement quantum gates and networks using highq cavities in which the qubits are represented by single cavity modes restricted in the space spanned by the two lowest fock states. Highcontrast qubit interactions using multimode cavity qed. Quantum bayesian rule for weak measurements of qubits in. Quantum information processing in cavityqed springerlink.
Individual trapped atoms for cavity qed quantum information. Griffiths is an absolutely basic level book in qm, while qed is a part of quantum field theory qft. Pellizzari t, gardiner s a, cirac j i and zoller p 1995 decoherence, continuous observation, and quantum computing. We present a concise but complete conceptual treatment of quantum computing implemented with cavity quantum electrodynamics cqed. Information can be identified as the most general thing which must propagate from a cause to an effect. Cavity qed approaches quantum information processing quantum. This site is like a library, use search box in the widget to get ebook that you want. Cavity quantum electrodynamics for superconducting. Before cavity qed, you have to first learn basic qed. The subject of quantum computing brings together ideas from classical information theory, computer science, and quantum physics. The principal obstacle to quantum information processing with many qubits is decoherence. Introduction to measurement based quantum computation. A number of cavity quantum electrodynamics qed based schemes for implementing quantum information processing and communication have been suggested. We then discuss schemes to implement several important quantum algorithms such as the discrete quantum fourier transform qft algorithm and grovers quantum search algorithm based on these.
One source of decoherence is spontaneous emission which causes loss of. With the aid of a modelbuilding approach, readers discover the answer to this question and come to appreciate its important applications in computing, cryptography. The quantum cavity qed system is adopted as a typical example to illustrate the merits, where the proposed scheme can be realized in a tripod configuration by appropriately controlling the pulse. So far, cavity qed experiments have been realized with a wide range of twolevel systems, including atoms, ions, cooperpair boxes, and semiconductor quantum dots. Pdf we present a concise but complete conceptual treatment of quantum computing implemented with cavity quantum electrodynamics cqed. We give a brief overview of cavity qed and its roles in quantum information science. Cavity quantum electrodynamics for superconducting electrical. Quantum computation roadmap quantum information science. In particular, we discuss setups in optical cavity qed, where either atoms serve as stationary qubits, or photons serve as flying qubits. Cavity quantum electrodynamics 4 and ion trap experiments 5 are ideally suited for these experiments. Building blocks for modular circuit qed quantum computing to order a book, go to christopher james axline, ph. From optical to solid state systems superconducting quantum circuits and nanomechanical systems aprial 4, tue 16. Modern cavity quantum electrodynamics cavity qed illuminates the most fundamental aspects of coherence and decoherence in quantum mechanics. Scalable architectures have also been suggested using these gates.
Cavity qed with superconducting circuits coherent quantum mechanics with individual photons and qubits basic approach. Cavity quantum electrodynamics for superconducting electrical circuits. Qed quantum electrodynamics an overview sciencedirect. An introduction to quantum computing using cavity qed.
The paper is intended as a brief overview for professionals who are coming over to the field from other areas and who may have not discussed the concepts behind quantum computing during their technical training. Richard feynman and yuri manin later suggested that a quantum computer had the potential to simulate things that a classical computer could not. It could in principle be used to construct a quantum computer the case of a single 2level atom in the cavity is mathematically described by the. Nov 15, 2002 modern cavity quantum electrodynamics cavity qed illuminates the most fundamental aspects of coherence and decoherence in quantum mechanics. In particular we discuss implementations of grovers algorithm and the quantum fourier transform. Dec 03, 2004 cavity quantum electrodynamics addresses a fascinating question in physics. Proposed realization of the dickemodel quantum phase. Experiments on atoms in cavities can be described by elementary models but reveal intriguing subtleties of the interplay of coherent dynamics with external couplings. Carmichael1 1department of physics, university of auckland, private bag 92019, auckland, new zealand. In cavity qed one is able to prepare quantum states for the electromagnetic field stored. Cavity qed approaches quantum information processing. This is because stored information is readily destroyed by thermal noise. In cavity qed one is able to prepare quantum states for the electromagnetic field stored in a resonant cavity. Strongly coupled cavity qed systems show great promise for coherent processing of quantum information in the contexts of quantum computing, communication and cryptography.
The introduction of concepts from cavity quantum electrodynamics to superconducting circuits yielded circuit quantum electrodynamics, a platform eminently suitable to quantum information. Moreover, all proposals for quantum computation using atoms interacting via a common cavity mode 19 require that the atoms are trapped in the cavity in a. Cavity quantum electrodynamics download ebook pdf, epub. An introduction to quantum computing using cavity qed concepts by zachary burell. Circuit qed is a novel onchip realization of cavity qed. Such systems are of great interest in the study of the fundamental quantum mechanics of open systems, the engineering of quantum states, and measurementinduced decoherence and have also been proposed as possible. Quantum computing began in the early 1980s, when physicist paul benioff proposed a quantum mechanical model of the turing machine. Both implement a simple quantum system, made up of a single twolevel system a spin12 strongly interacting with a mesoscopic quantum oscillator a spring. Cavity quantum electrodynamics with andersonlocalized modes.
The operations can be efficiently implemented using. Based on cavity qed of free atoms, we theoretically investigate the implementation of a threequbit quantum phase gate in which the three qubits are represented by the photons in modes of the cavity. The paper is intended as a brief overview for professionals who are coming over to the field from other areas and who may. Quantum information processing in cavityqed request pdf. Muticavity operations in circuit quantum electrodynamics. Individual trapped atoms for cavity qed quantum information applications a thesis presented to the academic faculty by kevin m.
Teleported operations between logical qubits in circuit quantum electrodynamics. Oct 19, 2004 possible schemes to implement the basic quantum gates for quantum computation have been presented based on cavity quantum electrodynamics qed systems. Isolating qubits from their environment maintain addressability of qubits reading out the state of qubits coupling qubits to each other converting stationary qubits to flying qubits what is this good for. Quantum computing on multiatomic ensembles in quantum electrodynamics cavity.
For cqed, which is analogous to the conventional optical cavityqed, the quantum trajectory approach seems the most natural choice 1214, 19, 20. Introductory textbook for cavity quantum electrodynamics. Atoms and molecules in cavities, from weak to strong. Cavity quantum electrodynamics an overview sciencedirect. An architecture for quantum computation alexandre blais,1 renshou huang,1,2 andreas wallraff,1 s.
Muti cavity operations in circuit quantum electrodynamics. Monitoringthedecoherenceofmesoscopicquantumsuperpositions. Quantum signaling in cavity qed connecting repositories. Proposed realization of the dickemodel quantum phase transition in an optical cavity qed system f. Typically, cqed devices are engineered so that the qubits primarily couple to a single cavity mode. In cavity qed one is able to prepare quantum states for.
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