Silicon gains ground in quantum-computing race

Castelvecchi, Davide

doi:10.1038/d41586-018-00213-3

Cited by 4 publications

(5 citation statements)

References 3 publications

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“…One way to mitigate the effect of these errors is in using topological quantum computing (Freedman 1998, Kitaev 2003, Collins 2006, Wang 2010, Pachos 2012, Stanescu 2017. In contrast to locally encoding information and computation using, for example, the spin of an electron (Kane 1998, Loss and DiVincenzo 1998, Reilly et al 2008, Castelvecchi 2018, the energy levels of an ion (Cirac andZoller 1995, Leibfried et al 2003), optical modes containing one photon (Knill et al 2001), or superconducting Josephson junctions (Shnirman et al 1997), topological quantum computers encode information using global, topological properties of a quantum system, which are resilient to local perturbations (Kitaev 2003, Bombin and Martin-Delgado 2008, Pachos and Simon 2014. These topological quantum computers can be implemented using non-Abelian anyons, which are quasiparticles in two-dimensional systems which exhibit exotic exchange statistics, beyond a simple phase change (Pachos 2012).…”

Section: Introductionmentioning

confidence: 99%

Introduction to topological quantum computation with non-Abelian anyons

Field

Simula

2018

Quantum Sci. Technol.

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Topological quantum computers promise a fault tolerant means to perform quantum computation. Topological quantum computers use particles with exotic exchange statistics called non-Abelian anyons, and the simplest anyon model which allows for universal quantum computation by particle exchange or braiding alone is the Fibonacci anyon model. One classically hard problem that can be solved efficiently using quantum computation is finding the value of the Jones polynomial of knots at roots of unity. We aim to provide a pedagogical, self-contained, review of topological quantum computation with Fibonacci anyons, from the braiding statistics and matrices to the layout of such a computer and the compiling of braids to perform specific operations. Then we use a simulation of a topological quantum computer to explicitly demonstrate a quantum computation using Fibonacci anyons, evaluating the Jones polynomial of a selection of simple knots. In addition to simulating a modular circuit-style quantum algorithm, we also show how the magnitude of the Jones polynomial at specific points could be obtained exactly using Fibonacci or Ising anyons. Such an exact algorithm seems ideally suited for a proof of concept demonstration of a topological quantum computer.

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Section: Introductionmentioning

confidence: 99%

Introduction to topological quantum computation with non-Abelian anyons

Field

Simula

2018

Quantum Sci. Technol.

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“…36 Finally, it is notable that typical polariton micropillar lattices can be fabricated with micron scale precision, 3 while the coherence of polariton condensates has been reported extending over a fraction of a millimeter. 37 The state-of-the-art in quantum computing has been developing rapidly in recent years, with companies developing systems with around 50 qubits, 38 while superconducting qubit systems 39 and ion trap 40 systems have already achieved 8 and 20 qubits, respectively. We hope that polariton lattices, which can potentially have a size of around 100 × 100 = 10 4 qubits (or double accounting for spin), will also be seen as relevant candidates.…”

Section: Discussionmentioning

confidence: 99%

Quantum computing with exciton-polariton condensates

Ghosh

Liew

2020

npj Quantum Inf

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Exciton-polariton condensates have attractive features for quantum computation, e.g., room temperature operation, high dynamical speed, ease of probe, and existing fabrication techniques. Here, we present a complete theoretical scheme of quantum computing with exciton-polariton condensates formed in semiconductor micropillars. Quantum fluctuations on top of the condensates are shown to realize qubits, which are externally controllable by applied laser pulses. Quantum tunneling and nonlinear interactions between the condensates allow SWAP, square-root-SWAP and controlled-NOT gate operations between the qubits.

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“…For more realistic models we need to consider the unavoidable interaction of the quantum system with its environment (quantum noise). The relation between the input and the output states is defined by the formula: † (4) Here the operators k E define only the first block-column of the matrix. We can complement the matrix to a unitary by orthogonal complement.…”

Section: Quantum Operationsmentioning

confidence: 99%

“…At present dozens of various models of quantum computers are being actively discussed. Among the most prospective and interesting suggestions are the projects based on superconducting structures, photons, atom and ion traps and other [1][2][3][4][5][6][7][8] . The main achievement of the research in the field performed until now has been a practical demonstration of validity of physical principles underlying the idea of quantum computations.…”

Section: Introductionmentioning

confidence: 99%

Quantum tomography based on principles of completeness, adequacy and fidelity

Bogdanov

Богданова

Bantysh

et al. 2019

International Conference on Micro- And Nano-Electronics 2018

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In this report we present a general approach for estimating quantum circuits by means of measurements. We apply the developed general approach for estimating the quality of superconducting and optical quantum chips. Using the methods of quantum states and processes tomography developed in our previous works, we have defined the adequate models of the states and processes under consideration. Keywords: quantum tomography, IBM quantum processor, optical quantum chipsRecently, IBM company started to provide an open access to some of its superconducting quantum processors 9 . However, the quality of these processors is still far from perfect. In present work we implemented the quantum tomography of some operations of IBM quantum processor. Using the methods of quantum states and processes tomography developed in our previous works, we have defined the adequate models of the states and processes under consideration. Some additional important results of this study are presented in our other article in this Proceedings, entitled "High-fidelity quantum tomography with imperfect measurements".An important motivation of our present work is the development of the most adequate, complete and accurate methods for estimating optical quantum chips by means of quantum measurements. At present, optical quantum chips are being developed in a number of laboratories around the world 10-14 . Active work in this direction is conducted by the team of Professor Kulik in the Center of Quantum Technologies of Moscow State University.According to the ancient legend, the Earth is located on the backs of three whales. Our approach to tomography of quantum states and quantum operations is also based on three principles (the three whales): completeness, adequacy and fidelity 15,16 (Fig.1). Figure 1. The three whales of quantum tomography.

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Silicon gains ground in quantum-computing race

Cited by 4 publications

References 3 publications

Introduction to topological quantum computation with non-Abelian anyons

Introduction to topological quantum computation with non-Abelian anyons

Quantum computing with exciton-polariton condensates

Quantum tomography based on principles of completeness, adequacy and fidelity

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