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Sarvagya Upadhyay - One of the best experts on this subject based on the ideXlab platform.

  • perfect parallel repetition theorem for quantum XOR proof systems
    Conference on Computational Complexity, 2007
    Co-Authors: Richard Cleve, William Slofstra, Falk Unger, Sarvagya Upadhyay
    Abstract:

    We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier's verdict is a function of the XOR of the two bits received. We show that, when the provers are allowed to coordinate their behavior using a shared entangled quantum state, a perfect parallel repetition theorem holds in the following sense. The prover's optimal success probability for simultaneously playing a collection of XOR proof systems is exactly the product of the individual optimal success probabilities. This property is remarkable in view of the fact that, in the classical case (where the provers can only utilize classical information), it does not hold. The theorem is proved by analyzing parities of XOR proof systems using semidefinite programming techniques, which we then relate to parallel repetitions of XOR games via Fourier analysis.

  • strong parallel repetition theorem for quantum XOR proof systems
    arXiv: Quantum Physics, 2006
    Co-Authors: Richard Cleve, William Slofstra, Falk Unger, Sarvagya Upadhyay
    Abstract:

    We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier's verdict is a function of the XOR of the two bits received. We show that, when the provers are allowed to coordinate their behavior using a shared entangled quantum state, a perfect parallel repetition theorem holds in the following sense. The prover's optimal success probability for simultaneously playing a collection of XOR proof systems is exactly the product of the individual optimal success probabilities. This property is remarkable in view of the fact that, in the classical case (where the provers can only utilize classical information), it does not hold. The theorem is proved by analyzing parities of XOR proof systems using semidefinite programming techniques, which we then relate to parallel repetitions of XOR games via Fourier analysis.

Yonghui Tian - One of the best experts on this subject based on the ideXlab platform.

  • simulation and demonstration of directed XOR xnor logic gates using two cascaded microring resonators
    IEEE Photonics Journal, 2016
    Co-Authors: Yonghui Tian, Zilong Liu, Huifu Xiao, Guolin Zhao, Jianhong Yang, Yongpeng Zhao, Genliang Han, Xiaoping Gao
    Abstract:

    We propose and demonstrate a directed optical logic circuit that can perform the XOR and XNOR logic operations consisting of two cascaded microring resonators, i.e., an upper waveguide and an under waveguide. No waveguide crossings exist in the circuit, which is very useful to improve the signal quality and reduce the insertion loss of the device. As proof of principle, XOR and XNOR logic operations with the speed of 10 kb/s are successfully demonstrated. In addition, numerical simulation results indicate that the length difference between the upper waveguide and the under waveguide can change the output spectrum characteristics of the device, which acts like a Mach–Zehnder interferometer (MZI).

  • electro optic directed logic circuit based on microring resonators for XOR xnor operations
    Optics Express, 2012
    Co-Authors: Lei Zhang, Jianfeng Ding, Yonghui Tian, Lin Yang, Hongtao Chen, Ping Zhou, Weiwei Zhu, Rui Min
    Abstract:

    We report the implementation of the XOR and XNOR operations using an electro-optic directed logic circuit based on two cascaded silicon microring resonators (MRRs), which are both modulated through the plasma dispersion effect. PIN diodes are embedded around the MRRs to achieve the carrier-injection modulation. The inherent resonance wavelength mismatch between the two nominally identical MRRs caused by fabrication errors is compensated by two local microheaters above each MRR through the thermo-optic effect. Two electrical modulating signals applied to the MRRs represent the two operands of the two operations. Simultaneous bitwise XOR and XNOR operations at 100 Mbit/s are demonstrated.

  • simultaneous implementation of XOR and xnor operations using a directed logic circuit based on two microring resonators
    Optics Express, 2011
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Weiwei Zhu, Lianxi Jia, Yuliang Liu, Qing Fang
    Abstract:

    We report the simultaneous implementation of the XOR and XNOR operations at two ports of a directed logic circuit based on two cascaded microring resonators (MRRs), which are both modulated through thermo-optic effect. Two electrical modulating signals applied to the MRRs represent the two operands of each logic operation. Simultaneous bitwise XOR and XNOR operations at 10 kbit/s are demonstrated in two different operating modes. We show that such a circuit can be readily realized using the plasma dispersion effect or the electric field effects, indicating its potential for high-speed operation. We further employ the scattering matrix method to analyze the spectral characteristics of the fabricated circuit, which can be regarded as a Mach-Zehnder interferometer (MZI) in whole. The two MRRs in the circuit act as wavelength-dependent splitting and combining units of the MZI. The degradation of the spectra observed in the experiment is found to be related to the length difference between the MZI’s two arms. The evolution of the spectra with this length difference is presented.

  • demonstration of directed XOR xnor logic gates using two cascaded microring resonators
    Optics Letters, 2010
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Lianxi Jia, Yuliang Liu, Ping Chen, Zhenyu Jiang, Qing Fang
    Abstract:

    We have designed and fabricated a directed logic architecture consisting of two silicon microring resonators that can perform XOR and XNOR operations. The microring resonators are modulated through thermo-optic effect. Two electrical modulating signals applied to the microring resonators represent the two operands of the logical operation. The logical function is evaluated through the directed propagation of light in the device, and the result is represented by the output optical signal. Both XOR and XNOR operations at 20 kbits are demonstrated.

Qing Fang - One of the best experts on this subject based on the ideXlab platform.

  • simultaneous implementation of XOR and xnor operations using a directed logic circuit based on two microring resonators
    Optics Express, 2011
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Weiwei Zhu, Lianxi Jia, Yuliang Liu, Qing Fang
    Abstract:

    We report the simultaneous implementation of the XOR and XNOR operations at two ports of a directed logic circuit based on two cascaded microring resonators (MRRs), which are both modulated through thermo-optic effect. Two electrical modulating signals applied to the MRRs represent the two operands of each logic operation. Simultaneous bitwise XOR and XNOR operations at 10 kbit/s are demonstrated in two different operating modes. We show that such a circuit can be readily realized using the plasma dispersion effect or the electric field effects, indicating its potential for high-speed operation. We further employ the scattering matrix method to analyze the spectral characteristics of the fabricated circuit, which can be regarded as a Mach-Zehnder interferometer (MZI) in whole. The two MRRs in the circuit act as wavelength-dependent splitting and combining units of the MZI. The degradation of the spectra observed in the experiment is found to be related to the length difference between the MZI’s two arms. The evolution of the spectra with this length difference is presented.

  • demonstration of directed XOR xnor logic gates using two cascaded microring resonators
    Optics Letters, 2010
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Lianxi Jia, Yuliang Liu, Ping Chen, Zhenyu Jiang, Qing Fang
    Abstract:

    We have designed and fabricated a directed logic architecture consisting of two silicon microring resonators that can perform XOR and XNOR operations. The microring resonators are modulated through thermo-optic effect. Two electrical modulating signals applied to the microring resonators represent the two operands of the logical operation. The logical function is evaluated through the directed propagation of light in the device, and the result is represented by the output optical signal. Both XOR and XNOR operations at 20 kbits are demonstrated.

Lei Zhang - One of the best experts on this subject based on the ideXlab platform.

  • electro optic directed logic circuit based on microring resonators for XOR xnor operations
    Optics Express, 2012
    Co-Authors: Lei Zhang, Jianfeng Ding, Yonghui Tian, Lin Yang, Hongtao Chen, Ping Zhou, Weiwei Zhu, Rui Min
    Abstract:

    We report the implementation of the XOR and XNOR operations using an electro-optic directed logic circuit based on two cascaded silicon microring resonators (MRRs), which are both modulated through the plasma dispersion effect. PIN diodes are embedded around the MRRs to achieve the carrier-injection modulation. The inherent resonance wavelength mismatch between the two nominally identical MRRs caused by fabrication errors is compensated by two local microheaters above each MRR through the thermo-optic effect. Two electrical modulating signals applied to the MRRs represent the two operands of the two operations. Simultaneous bitwise XOR and XNOR operations at 100 Mbit/s are demonstrated.

  • simultaneous implementation of XOR and xnor operations using a directed logic circuit based on two microring resonators
    Optics Express, 2011
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Weiwei Zhu, Lianxi Jia, Yuliang Liu, Qing Fang
    Abstract:

    We report the simultaneous implementation of the XOR and XNOR operations at two ports of a directed logic circuit based on two cascaded microring resonators (MRRs), which are both modulated through thermo-optic effect. Two electrical modulating signals applied to the MRRs represent the two operands of each logic operation. Simultaneous bitwise XOR and XNOR operations at 10 kbit/s are demonstrated in two different operating modes. We show that such a circuit can be readily realized using the plasma dispersion effect or the electric field effects, indicating its potential for high-speed operation. We further employ the scattering matrix method to analyze the spectral characteristics of the fabricated circuit, which can be regarded as a Mach-Zehnder interferometer (MZI) in whole. The two MRRs in the circuit act as wavelength-dependent splitting and combining units of the MZI. The degradation of the spectra observed in the experiment is found to be related to the length difference between the MZI’s two arms. The evolution of the spectra with this length difference is presented.

  • demonstration of directed XOR xnor logic gates using two cascaded microring resonators
    Optics Letters, 2010
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Lianxi Jia, Yuliang Liu, Ping Chen, Zhenyu Jiang, Qing Fang
    Abstract:

    We have designed and fabricated a directed logic architecture consisting of two silicon microring resonators that can perform XOR and XNOR operations. The microring resonators are modulated through thermo-optic effect. Two electrical modulating signals applied to the microring resonators represent the two operands of the logical operation. The logical function is evaluated through the directed propagation of light in the device, and the result is represented by the output optical signal. Both XOR and XNOR operations at 20 kbits are demonstrated.

Ping Zhou - One of the best experts on this subject based on the ideXlab platform.

  • electro optic directed logic circuit based on microring resonators for XOR xnor operations
    Optics Express, 2012
    Co-Authors: Lei Zhang, Jianfeng Ding, Yonghui Tian, Lin Yang, Hongtao Chen, Ping Zhou, Weiwei Zhu, Rui Min
    Abstract:

    We report the implementation of the XOR and XNOR operations using an electro-optic directed logic circuit based on two cascaded silicon microring resonators (MRRs), which are both modulated through the plasma dispersion effect. PIN diodes are embedded around the MRRs to achieve the carrier-injection modulation. The inherent resonance wavelength mismatch between the two nominally identical MRRs caused by fabrication errors is compensated by two local microheaters above each MRR through the thermo-optic effect. Two electrical modulating signals applied to the MRRs represent the two operands of the two operations. Simultaneous bitwise XOR and XNOR operations at 100 Mbit/s are demonstrated.

  • simultaneous implementation of XOR and xnor operations using a directed logic circuit based on two microring resonators
    Optics Express, 2011
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Weiwei Zhu, Lianxi Jia, Yuliang Liu, Qing Fang
    Abstract:

    We report the simultaneous implementation of the XOR and XNOR operations at two ports of a directed logic circuit based on two cascaded microring resonators (MRRs), which are both modulated through thermo-optic effect. Two electrical modulating signals applied to the MRRs represent the two operands of each logic operation. Simultaneous bitwise XOR and XNOR operations at 10 kbit/s are demonstrated in two different operating modes. We show that such a circuit can be readily realized using the plasma dispersion effect or the electric field effects, indicating its potential for high-speed operation. We further employ the scattering matrix method to analyze the spectral characteristics of the fabricated circuit, which can be regarded as a Mach-Zehnder interferometer (MZI) in whole. The two MRRs in the circuit act as wavelength-dependent splitting and combining units of the MZI. The degradation of the spectra observed in the experiment is found to be related to the length difference between the MZI’s two arms. The evolution of the spectra with this length difference is presented.

  • demonstration of directed XOR xnor logic gates using two cascaded microring resonators
    Optics Letters, 2010
    Co-Authors: Lei Zhang, Yonghui Tian, Lin Yang, Ping Zhou, Lianxi Jia, Yuliang Liu, Ping Chen, Zhenyu Jiang, Qing Fang
    Abstract:

    We have designed and fabricated a directed logic architecture consisting of two silicon microring resonators that can perform XOR and XNOR operations. The microring resonators are modulated through thermo-optic effect. Two electrical modulating signals applied to the microring resonators represent the two operands of the logical operation. The logical function is evaluated through the directed propagation of light in the device, and the result is represented by the output optical signal. Both XOR and XNOR operations at 20 kbits are demonstrated.