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David H . Wei

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Papers by David H . Wei

Research paper thumbnail of A Solution to the Sign Problem Using a Sum-of-Few-Fermions Hamiltonian

Cornell University - arXiv, Jun 8, 2022

A restricted path integral method is proposed to efficiently simulate a class of quantum systems ... more A restricted path integral method is proposed to efficiently simulate a class of quantum systems and Hamiltonians called sum-of-few-fermions (SFF) by Monte Carlo on a classical computer without a numerical sign problem. Then a universality is proven to assert that any bounded-error quantum polynomial time (BQP) algorithm can be mapped to the ground state of an SFF Hamiltonian and becomes efficiently simulatable. Therefore, the computational complexity class of bounded-error probabilistic polynomial time (BPP) is precisely the same as the class of BQP.

Research paper thumbnail of Comment on All-optical machine learning using diffractive deep neural networks

ArXiv, 2018

Lin et al. (Reports, 7 September 2018, p. 1004) reported a remarkable proposal that employs a pas... more Lin et al. (Reports, 7 September 2018, p. 1004) reported a remarkable proposal that employs a passive, strictly linear optical setup to perform pattern classifications. But interpreting the multilayer diffractive setup as a deep neural network and advocating it as an all-optical deep learning framework are not well justified and represent a mischaracterization of the system by overlooking its defining characteristics of perfect linearity and strict passivity.

Research paper thumbnail of Multi-Material Hard Mask or Prepatterned Layer for Use With Multi-Patterning Photolithography

Research paper thumbnail of <title>Dynamic models and nonlinear filtering of wave propagation in random fields</title>

Wireless and Mobile Communications, 2001

In this paper, a general model of wireless channels is established based on the physics of wave p... more In this paper, a general model of wireless channels is established based on the physics of wave propagation. Then the problems of inverse scattering and channel prediction are formulated as nonlinear filtering problems. The solutions to the nonlinear filtering problems are given in the form of dynamic evolution equations of the estimated quantities. Finally, examples are provided to illustrate the practical applications of the proposed theory.

Research paper thumbnail of Centerline-based pinch/bridge detection

Research paper thumbnail of Nonlinearity Compensation In A Fiber Optic Communications System

Research paper thumbnail of Fundamental Limits of

Research paper thumbnail of Computational efficiency in photolithographic process simulation

Research paper thumbnail of Fundamental limits of ‘ankylography’ due to dimensional deficiency

Research paper thumbnail of Coherent AC Transport Theory and Quantum Capacitance

Research paper thumbnail of Dynamic models and nonlinear filtering of wave propagation in random fields

In this paper, a general model of wireless channels is established based on the physics of wave p... more In this paper, a general model of wireless channels is established based on the physics of wave propagation. Then the problems of inverse scattering and channel prediction are formulated as nonlinear filtering problems. The solutions to the nonlinear filtering problems are given in the form of dynamic evolution equations of the estimated quantities. Finally, examples are provided to illustrate the practical applications of the proposed theory.

Research paper thumbnail of Symmetry and nonlinear compensation in fiber-optic transmissions

Research paper thumbnail of Multi-Material Hard Mask or Prepatterned Layer for Use With Multi-Patterning Photolithography

Research paper thumbnail of Computer simulation of photolithographic processing

Research paper thumbnail of Nonlinearity compensation in a fiber optic communications system

Research paper thumbnail of Computational efficiency in photolithographic process simulation

Research paper thumbnail of Photolithographic process simulation in integrated circuit design and manufacturing

Research paper thumbnail of Photolithographic process simulation including efficient result computation for multiple process variation values

Research paper thumbnail of Dispersion-induced signal distortion in cascaded OADMs

Proceedings of SPIE - The International Society for Optical Engineering

ABSTRACT

Research paper thumbnail of Inter-channel Cross-talk in FWM-based Phase Conjugators

Proceedings of SPIE - The International Society for Optical Engineering

ABSTRACT

Research paper thumbnail of A Solution to the Sign Problem Using a Sum-of-Few-Fermions Hamiltonian

Cornell University - arXiv, Jun 8, 2022

A restricted path integral method is proposed to efficiently simulate a class of quantum systems ... more A restricted path integral method is proposed to efficiently simulate a class of quantum systems and Hamiltonians called sum-of-few-fermions (SFF) by Monte Carlo on a classical computer without a numerical sign problem. Then a universality is proven to assert that any bounded-error quantum polynomial time (BQP) algorithm can be mapped to the ground state of an SFF Hamiltonian and becomes efficiently simulatable. Therefore, the computational complexity class of bounded-error probabilistic polynomial time (BPP) is precisely the same as the class of BQP.

Research paper thumbnail of Comment on All-optical machine learning using diffractive deep neural networks

ArXiv, 2018

Lin et al. (Reports, 7 September 2018, p. 1004) reported a remarkable proposal that employs a pas... more Lin et al. (Reports, 7 September 2018, p. 1004) reported a remarkable proposal that employs a passive, strictly linear optical setup to perform pattern classifications. But interpreting the multilayer diffractive setup as a deep neural network and advocating it as an all-optical deep learning framework are not well justified and represent a mischaracterization of the system by overlooking its defining characteristics of perfect linearity and strict passivity.

Research paper thumbnail of Multi-Material Hard Mask or Prepatterned Layer for Use With Multi-Patterning Photolithography

Research paper thumbnail of <title>Dynamic models and nonlinear filtering of wave propagation in random fields</title>

Wireless and Mobile Communications, 2001

In this paper, a general model of wireless channels is established based on the physics of wave p... more In this paper, a general model of wireless channels is established based on the physics of wave propagation. Then the problems of inverse scattering and channel prediction are formulated as nonlinear filtering problems. The solutions to the nonlinear filtering problems are given in the form of dynamic evolution equations of the estimated quantities. Finally, examples are provided to illustrate the practical applications of the proposed theory.

Research paper thumbnail of Centerline-based pinch/bridge detection

Research paper thumbnail of Nonlinearity Compensation In A Fiber Optic Communications System

Research paper thumbnail of Fundamental Limits of

Research paper thumbnail of Computational efficiency in photolithographic process simulation

Research paper thumbnail of Fundamental limits of ‘ankylography’ due to dimensional deficiency

Research paper thumbnail of Coherent AC Transport Theory and Quantum Capacitance

Research paper thumbnail of Dynamic models and nonlinear filtering of wave propagation in random fields

In this paper, a general model of wireless channels is established based on the physics of wave p... more In this paper, a general model of wireless channels is established based on the physics of wave propagation. Then the problems of inverse scattering and channel prediction are formulated as nonlinear filtering problems. The solutions to the nonlinear filtering problems are given in the form of dynamic evolution equations of the estimated quantities. Finally, examples are provided to illustrate the practical applications of the proposed theory.

Research paper thumbnail of Symmetry and nonlinear compensation in fiber-optic transmissions

Research paper thumbnail of Multi-Material Hard Mask or Prepatterned Layer for Use With Multi-Patterning Photolithography

Research paper thumbnail of Computer simulation of photolithographic processing

Research paper thumbnail of Nonlinearity compensation in a fiber optic communications system

Research paper thumbnail of Computational efficiency in photolithographic process simulation

Research paper thumbnail of Photolithographic process simulation in integrated circuit design and manufacturing

Research paper thumbnail of Photolithographic process simulation including efficient result computation for multiple process variation values

Research paper thumbnail of Dispersion-induced signal distortion in cascaded OADMs

Proceedings of SPIE - The International Society for Optical Engineering

ABSTRACT

Research paper thumbnail of Inter-channel Cross-talk in FWM-based Phase Conjugators

Proceedings of SPIE - The International Society for Optical Engineering

ABSTRACT

Research paper thumbnail of A Solution to the Sign Problem Using a Sum-of-Few-Fermions Hamiltonian

A restricted path integral method is proposed to efficiently simulate a class of quantum systems ... more A restricted path integral method is proposed to efficiently simulate a class of quantum systems and Hamiltonians called sum-of-few-fermions (SFF) by Monte Carlo on a classical computer without a numerical sign problem. Then a universality is proven to assert that any bounded-error quantum polynomial time (BQP) algorithm can be mapped to the ground state of an SFF Hamiltonian and becomes efficiently simulatable. Therefore, the computational complexity class of bounded-error probabilistic polynomial time (BPP) is precisely the same as the class of BQP.

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