Quantum Logic

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Isaac L. Chuang - One of the best experts on this subject based on the ideXlab platform.

  • Microwave Quantum Logic spectroscopy and control of molecular ions
    New Journal of Physics, 2013
    Co-Authors: Molu Shi, Michael Drewsen, Peter F. Herskind, Isaac L. Chuang
    Abstract:

    A general method for rotational microwave spectroscopy and control of polar molecular ions via direct microwave addressing is considered. Our method makes use of spatially varying ac Stark shifts, induced by far off- resonant, focused laser beams to achieve an effective coupling between the rotational state of a molecular ion and the electronic state of an atomic ion. In this setting, the atomic ion is used for read-out of the molecular ion state, in a manner analogous to Quantum Logic spectroscopy based on Raman transitions. In addition to high-precision spectroscopy, this setting allows for rotational ground state cooling, and can be considered as a candidate for the Quantum information processing with polar molecular ions. All elements of our proposal can be realized with currently available technology.

  • A Quantum Logic Array microarchitecture: Scalable Quantum data movement and computation
    Proceedings of the Annual International Symposium on Microarchitecture MICRO, 2005
    Co-Authors: Tzvetan S. Metodi, Darshan D. Thaker, Andrew W Cross, Frederic T. Chong, Isaac L. Chuang
    Abstract:

    Recent experimental advances have demonstrated technologies capable of supporting scalable Quantum computation. A critical next step is how to put those technologies together into a scalable, fault-tolerant system that is also feasible. We propose a Quantum Logic Array (QLA) microarchitecture that forms the foundation of such a system. The QLA focuses on the communication resources necessary to efficiently support fault-tolerant computations. We leverage the extensive groundwork in Quantum error correction theory and provide analysis that shows that our system is both asymptotically and empirically fault tolerant. Specifically, we use the QLA to implement a hierarchical, array-based design and a logarithmic expense Quantum-teleportation communication protocol. Our goal is to overcome the primary scalability challenges of reliability, communication, and Quantum resource distribution that plague current proposals for large-scale Quantum computing.

  • A Quantum Logic array microarchitecture: scalable Quantum data movement and computation
    38th Annual IEEE ACM International Symposium on Microarchitecture (MICRO'05), 2005
    Co-Authors: Tzvetan S. Metodi, Darshan D. Thaker, Andrew W Cross, Frederic T. Chong, Isaac L. Chuang
    Abstract:

    Recent experimental advances have demonstrated technologies capable of supporting scalable Quantum computation. A critical next step is how to put those technologies together into a scalable, fault-tolerant system that is also feasible. We propose a Quantum Logic array (QLA) microarchitecture that forms the foundation of such a system. The QLA focuses on the communication resources necessary to efficiently support fault-tolerant computations. We leverage the extensive groundwork in Quantum error correction theory and provide analysis that shows that our system is both asymptotically and empirically fault tolerant. Specifically, we use the QLA to implement a hierarchical, array-based design and a logarithmic expense Quantum-teleportation communication protocol. Our goal is to overcome the primary scalability challenges of reliability, communication, and Quantum resource distribution that plague current proposals for large-scale Quantum computing. Our work complements recent work by Balenseifer et al. (2005), which studies the software tool chain necessary to simplify development of Quantum applications; here we focus on modeling a full-scale optimized microarchitecture for scalable computing.

  • methodology for Quantum Logic gate construction
    Physical Review A, 2000
    Co-Authors: Debbie Leung, X Zhou, Isaac L. Chuang
    Abstract:

    We present a general method to construct fault-tolerant Quantum Logic gates with a simple primitive, which is an analog of Quantum teleportation. The technique extends previous results based on traditional Quantum teleportation @Gottesman and Chuang, Nature ~London! 402, 390 ~1999!# and leads to straightforward and systematic construction of many fault-tolerant encoded operations, including the p/8 and Toffoli gates. The technique can also be applied to the construction of remote Quantum operations that cannot be directly performed.

  • methodology for Quantum Logic gate construction
    Physical Review A, 2000
    Co-Authors: Debbie Leung, X Zhou, Isaac L. Chuang
    Abstract:

    We present a general method to construct fault-tolerant Quantum Logic gates with a simple primitive, which is an analog of Quantum teleportation. The technique extends previous results based on traditional Quantum teleportation [Gottesman and Chuang, Nature (London) 402, 390 (1999)] and leads to straightforward and systematic construction of many fault-tolerant encoded operations, including the $\ensuremath{\pi}/8$ and Toffoli gates. The technique can also be applied to the construction of remote Quantum operations that cannot be directly performed.

D Kielpinski - One of the best experts on this subject based on the ideXlab platform.

  • ultrafast high repetition rate ultraviolet fiber laser based source application towards yb fast Quantum Logic
    Optics Express, 2016
    Co-Authors: Mahmood Irtiza Hussain, M J Petrasiunas, Christopher D B Bentley, Richard L Taylor, Andre R R Carvalho, Joseph Hope, Erik Streed, Mirko Lobino, D Kielpinski
    Abstract:

    Trapped ions are one of the most promising approaches for the realization of a universal Quantum computer. Faster Quantum Logic gates could dramatically improve the performance of trapped-ion Quantum computers, and require the development of suitable high repetition rate pulsed lasers. Here we report on a robust frequency upconverted fiber laser based source, able to deliver 2.5 ps ultraviolet (UV) pulses at a stabilized repetition rate of 300.00000 MHz with an average power of 190 mW. The laser wavelength is resonant with the strong transition in Ytterbium (Yb+) at 369.53 nm and its repetition rate can be scaled up using high harmonic mode locking. We show that our source can produce arbitrary pulse patterns using a programmable pulse pattern generator and fast modulating components. Finally, simulations demonstrate that our laser is capable of performing resonant, temperature-insensitive, two-qubit Quantum Logic gates on trapped Yb+ ions faster than the trap period and with fidelity above 99%.

  • ultrafast high repetition rate ultraviolet fiber based laser source application towards yb fast Quantum Logic
    arXiv: Optics, 2016
    Co-Authors: Mahmood Irtiza Hussain, M J Petrasiunas, Christopher D B Bentley, Richard L Taylor, Andre R R Carvalho, Joseph Hope, Erik Streed, Mirko Lobino, D Kielpinski
    Abstract:

    Trapped ions are one of the most promising approaches for the realization of a universal Quantum computer. Faster Quantum Logic gates could dramatically improve the performance of trapped-ion Quantum computers, and require the development of suitable high repetition rate pulsed lasers. Here we report on a robust frequency upconverted fiber laser based source, able to deliver 2.5 ps ultraviolet (UV) pulses at a stabilized repetition rate of 300.00000 MHz with an average power of 190 mW. The laser wavelength is resonant with the strong transition in Ytterbium (Yb+) at 369.53 nm and its repetition rate can be scaled up using high harmonic mode locking. We show that our source can produce arbitrary pulse patterns using a programmable pulse pattern generator and fast modulating components. Finally, simulations demonstrate that our laser is capable of performing resonant, temperature-insensitive, two-qubit Quantum Logic gates on trapped Yb$^+$ ions faster than the trap period and with fidelity above 99%.

D J Wineland - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Logic spectroscopy with ions in thermal motion
    Physical Review X, 2020
    Co-Authors: D. Kienzler, Yong Wan, Stephen Erickson, A C Wilson, D J Wineland
    Abstract:

    An enhanced version of Quantum Logic spectroscopy, used to map absorption and emission from single atoms, tolerates some ion motion and entangles several ions for improved sensitivity.

  • 27 al Quantum Logic clock with a systematic uncertainty below 10 18
    Physical Review Letters, 2019
    Co-Authors: Samuel M Brewer, Jwosy Chen, A M Hankin, Ethan Clements, Chinwen Chou, D J Wineland
    Abstract:

    We describe an optical atomic clock based on Quantum-Logic spectroscopy of the ^{1}S_{0}↔^{3}P_{0} transition in ^{27}Al^{+} with a systematic uncertainty of 9.4×10^{-19} and a frequency stability of 1.2×10^{-15}/sqrt[τ]. A ^{25}Mg^{+} ion is simultaneously trapped with the ^{27}Al^{+} ion and used for sympathetic cooling and state readout. Improvements in a new trap have led to reduced secular motion heating, compared to previous ^{27}Al^{+} clocks, enabling clock operation with ion secular motion near the three-dimensional ground state. Operating the clock with a lower trap drive frequency has reduced excess micromotion compared to previous ^{27}Al^{+} clocks. Both of these improvements have led to a reduced time-dilation shift uncertainty. Other systematic uncertainties including those due to blackbody radiation and the second-order Zeeman effect have also been reduced.

  • Quantum Logic spectroscopy with ions in thermal motion
    arXiv: Atomic Physics, 2019
    Co-Authors: D. Kienzler, Yong Wan, Stephen Erickson, A C Wilson, D J Wineland
    Abstract:

    A mixed-species geometric phase gate has been proposed for implementing Quantum Logic spectroscopy on trapped ions that combines probe and information transfer from the spectroscopy to the Logic ion in a single pulse. We experimentally realize this method, show how it can be applied as a technique for identifying transitions in currently intractable atoms or molecules, demonstrate its reduced temperature sensitivity, and observe Quantum-enhanced frequency sensitivity when it is applied to multi-ion chains. Potential applications include improved readout of trapped-ion clocks and simplified error syndrome measurements for Quantum error correction.

T B Pittman - One of the best experts on this subject based on the ideXlab platform.

  • high fidelity Quantum Logic operations using linear optical elements
    Physical Review Letters, 2002
    Co-Authors: J D Franson, B C Jacobs, M M Donegan, Michael J Fitch, T B Pittman
    Abstract:

    Knill, Laflamme, and Milburn [Nature (London) 409, 46 ((2001))]] have shown that Quantum Logic operations can be performed using linear optical elements and additional ancilla photons. Their approach is probabilistic in the sense that the Logic devices fail to produce an output with a failure rate that scales as 1/n, where n is the number of ancilla. Here we present an alternative approach in which the Logic devices always produce an output with an intrinsic error rate that scales as 1/n(2), which may have several advantages in Quantum computing applications.

  • demonstration of nondeterministic Quantum Logic operations using linear optical elements
    Physical Review Letters, 2002
    Co-Authors: T B Pittman, B C Jacobs, J D Franson
    Abstract:

    Knill, Laflamme, and Milburn [Nature (London) 409, 46 (2001)] recently showed that nondeterministic Quantum Logic operations could be performed using linear optical elements, additional photons (ancilla), and postselection based on the output of single-photon detectors. Here we report the experimental demonstration of two Logic devices of this kind, a destructive controlled-NOT (CNOT) gate and a Quantum parity check. These two devices can be combined with a pair of entangled photons to implement a conventional (nondestructive) CNOT that succeeds with a probability of 1/4.

  • probabilistic Quantum Logic operations using polarizing beam splitters
    Physical Review A, 2001
    Co-Authors: T B Pittman, B C Jacobs, J D Franson
    Abstract:

    It has previously been shown that probabilistic Quantum Logic operations may be performed using linear optical elements, additional photons (ancilla), and post-selection based on the output of single-photon detectors. Here we describe the operation of several Quantum Logic operations of an elementary nature, including a Quantum parity check and a Quantum encoder, and we show how they may be combined to implement a controlled-NOT (CNOT) gate. All of these gates may be constructed using polarizing beam splitters that completely transmit one state of polarization and totally reflect the orthogonal state of polarization, which allows a simple explanation of each operation. We also describe a polarizing beam splitter implementation of a CNOT gate that is closely analogous to the Quantum teleportation technique previously suggested by Gottesman and Chuang [Nature 402, 390 (1999)]. Finally, our approach has the interesting feature that it makes practical use of a Quantum-eraser technique.

J D Franson - One of the best experts on this subject based on the ideXlab platform.

  • high fidelity Quantum Logic operations using linear optical elements
    Physical Review Letters, 2002
    Co-Authors: J D Franson, B C Jacobs, M M Donegan, Michael J Fitch, T B Pittman
    Abstract:

    Knill, Laflamme, and Milburn [Nature (London) 409, 46 ((2001))]] have shown that Quantum Logic operations can be performed using linear optical elements and additional ancilla photons. Their approach is probabilistic in the sense that the Logic devices fail to produce an output with a failure rate that scales as 1/n, where n is the number of ancilla. Here we present an alternative approach in which the Logic devices always produce an output with an intrinsic error rate that scales as 1/n(2), which may have several advantages in Quantum computing applications.

  • demonstration of nondeterministic Quantum Logic operations using linear optical elements
    Physical Review Letters, 2002
    Co-Authors: T B Pittman, B C Jacobs, J D Franson
    Abstract:

    Knill, Laflamme, and Milburn [Nature (London) 409, 46 (2001)] recently showed that nondeterministic Quantum Logic operations could be performed using linear optical elements, additional photons (ancilla), and postselection based on the output of single-photon detectors. Here we report the experimental demonstration of two Logic devices of this kind, a destructive controlled-NOT (CNOT) gate and a Quantum parity check. These two devices can be combined with a pair of entangled photons to implement a conventional (nondestructive) CNOT that succeeds with a probability of 1/4.

  • probabilistic Quantum Logic operations using polarizing beam splitters
    Physical Review A, 2001
    Co-Authors: T B Pittman, B C Jacobs, J D Franson
    Abstract:

    It has previously been shown that probabilistic Quantum Logic operations may be performed using linear optical elements, additional photons (ancilla), and post-selection based on the output of single-photon detectors. Here we describe the operation of several Quantum Logic operations of an elementary nature, including a Quantum parity check and a Quantum encoder, and we show how they may be combined to implement a controlled-NOT (CNOT) gate. All of these gates may be constructed using polarizing beam splitters that completely transmit one state of polarization and totally reflect the orthogonal state of polarization, which allows a simple explanation of each operation. We also describe a polarizing beam splitter implementation of a CNOT gate that is closely analogous to the Quantum teleportation technique previously suggested by Gottesman and Chuang [Nature 402, 390 (1999)]. Finally, our approach has the interesting feature that it makes practical use of a Quantum-eraser technique.