Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Symposium on Photonics and Optoelectronics

Universal Quantum Logic Gates Based on Phase Control

Xiangyang Yu, Xiao-bin Li

Published May 1, 2012• 0 citations
Publisher

Abstract

Based on the semi-classical theory of the interaction between light and matter, we propose an effective scheme for describing the realization of single quantum gates. The rigorous analytical solution for the resonant system, in which the double ultra-short powerful laser pulses with accurately controllable relative phase difference will interact with the atoms, is obtained by solving the time-dependent Schrödinger equation. According to the corresponding solution, we deduce the systematic matrix expression of unitary transformation. Universal quantum logic gates are all implemented theoretically by means of regulating properly the laser pulses' intensity and its relative phase difference as well as the optic detuning. This method also proves practical in terms of its comparably easier manipulation.

DOI
10.1109/sopo.2012.6271025

Related papers

Physical realization of single qubit gate using laser-two-level-atom system

Ming-Lun Chen, Shun-Jin Wang, (1)四川大学物理系,成都 610064; (2)四川大学物理系,成都 610064;兰州重离子加速器国家实验室核理论中心,兰州 730000

The time dependent Schrdinger Equation of a laser-two-level-atom system has been solved by algebraic dynamics method. The exact analytical solution is obtained, and the single qubit logical gate can be realized through adjusting the amplitude and frequency of the single mode laser field as well as strength of the short pulse laser field.

Acta Physica Sinica•Jan 1, 2006•5 citations

Realization of Universal Single Qubit Logic Gate

Shun-Jin Wang

The auathors investigate a particle with spin-1/2 moving in a time-dependent magnetic field. The system has an SU(2) algebraic structure. Using algebraic dynamical method, authors have obtained the rigorous analytical solution to the time dependent Schroedinger equation. Based on the analytical solution, authors have realize the universal single qubit logic gate controlled by the amplitude and frequency of magnetic field and the six special single qubit gates are realized as well.

Journal of Sichuan University•Jan 1, 2005•0 citations

A scheme for direct implementation of a two-target qubit controlled phase gate with quantum dots in coupled photonic crystal cavities without using classical laser pulses

Xinxin Jiang, Wen‐Xue Cui, Shi Hu +2 more

We propose a scheme to implement a three-qubit controlled phase gate with one control qubit and two target qubits using quantum dots (QDs) in two coupled photonic crystal (PC) cavities A and B. In the scheme, three QDs are embedded in two coupled photonic crystal cavities and the transitions between the levels are only coupled to the cavity modes without being driven by the classical laser fields. We investigate the dynamics of the system consisting of resonant and off-resonant couplings between the cavity modes and QDs and solve the time-dependent Schrodinger equation analytically. The results show that a three-qubit controlled phase gate can be directly implemented using one operational step, by exchanging a single photon between the PC cavities A and B. This scheme greatly simplifies the gate operation in experiments.

Laser Physics Letters•Nov 6, 2014•3 citations

Multiple-qubit controlled unitary quantum gate for Rydberg atoms using shortcut to adiabaticity and optimized geometric quantum operations

Meng Li, F.-Q. Guo, Z. Jin +3 more

Multiple-qubit quantum logic gates are an important element in the implementation of quantum computers. The direct construction of multiple-qubit quantum logic gates in an efficient way has important values compared to the construction of multiple-qubit gates using a series of two-qubit and single-qubit gates. We propose a scheme to construct a multiple-qubit ${\mathrm{C}}_{k}\mathrm{U}$ gate ($k$ denotes the number of control qubits and U means the arbitrary universal operation performed on the target qubit) in a neutral atom platform through the Rydberg blockade effect by successively exciting them to Rydberg states. This scheme takes advantage of the shortcut to adiabaticity of inverse engineering, geometric quantum operations, as well as optimized control theory. The geometric quantum computation considered in this manuscript guarantees the robustness to operational errors. Meanwhile, inverse engineering-based shortcut to adiabaticity provides a further advantage in terms of the speed of the system evolution compared to adiabatic processes. An additional feature of our multiple-qubit quantum logic gate is that arbitrary operation on the target atom can be realized by adjusting the amplitude and phase of the laser fields. Numerical simulation of the master equation based on the full Hamiltonian demonstrates the high fidelity of the proposed scheme and its robustness to operational errors and spontaneous emission.

Physical Review A•Jun 15, 2021•43 citations

Femtosecond laser direct writing of optical quantum logic gates

Qian Zhang, Meng Li, Qihuang Gong +1 more

Unlike classical digital computers in which a bit can represent either 1 or 0 at any time, quantum computers use a two-level system, i.e., a qubit, to implement logical operations based on quantum mechanical laws, which can represent both values at once. Owing to the superposition property of qubits, quantum computers have natural parallel processing advantages and thus have potential to exceed the computational efficiency of classical computers for particular tasks. Quantum logic gates are the generalization of classical logic gates in computational networks. It has been proved that two-qubit quantum gates together with one-qubit quantum gates are adequate for constructing networks with any possible quantum computational property. Directional couplers are the most critical elementsfor constructing the quantum gates. In recent years, photonic quantum technologies have emerged as a promising experimental platform for quantum computing. Single photons have robust noise resistance, long coherence time, high transmission speed and great compatibility with other systems. They can be easily manipulated and encoded in any of several degrees of freedom, for example, polarization, path, spatial mode or time bin. Optical waveguide technology enables the realizing of complex optical schemes comprised of many elements with desired scalability, stability and miniaturization. Femtosecond laser direct writing of waveguide has been adopted as a powerful tool for integrated quantum photonics with characteristics of rapidness, cost-effectiveness, mask-less and single-step process. In particular, it has the ability to build arbitrary three-dimensional circuits directly inside bulk materials, which is impossible to achieve with conventional lithography. In this article we review the femtosecond laser writing and quantum characterization of directional coupler and important one-qubit and two-qubit optical quantum logic gates, such as Hadamard gate, Pauli-X gate, controlled-NOT gate, and controlled-Phase gate. The qubits in these gates are usually encoded through optical paths or polarizations of photons. The key to the realization of polarization-encoded one-qubit gates is to achieve flexible wave-plate operations, which is described in detail. Controlled-NOT gate and controlled-phase gate are the most crucial two-qubit gates in the linear optics computation and sometimes they can be converted into each other by adding some one-qubit gates or special superposition states. Many different kinds of waveguide circuits have been used to implement these two-qubit gates. The outlook and challenges for the femtosecond laser writing of three-qubit gates, such as Toffoli gate and Fredkin gate, are briefly introduced.

Acta Physica Sinica•Jan 1, 2019•4 citations

Relativistic Rabi Dynamics and Scalings of Highly charged Hydrogen-like Atoms

Filip Salbrink

Interactions between light and matter is one way to study both particles whose small spatial sizes render them irresolvable to our eyes and events where the characteristic time scale is too short for conventional recording and measurement techniques. The advent of free electron lasers allow laser pulses of high intensity and small temporal duration such that ultra-fast dynamics in matter systems and resulting non-linear effects can be resolved experimentally. This thesis discusses some theories to mathematically model such light-matter interactions and presents results based both on analytical expressions—where such expressions are available— from the Schrödinger and the Dirac equations as well as numerical calculations. Some models presented are a semi-classical model where light is treated classically and the atomic system quantum-mechanically and a statistical model which describes the light as quantized to feature effects like spontaneous emission and thermal excitation. The main theme of the thesis is relativistic effects and scalings of interaction effects with nuclear charge Z. The results discussed in the work shows that the equivalent characteristics of the dynamics of highly ionized hydrogen-like atoms predicted by the Schrödinger equation fail when relativistic effects are taken into account. This is shown to be a result of the quantities such as energy and mean radial distance from the nucleus not being exactly proportional to powers of Z in Dirac’s description of quantum mechanics. Further, deviations occur due to the necessary detuning of the driving laser field when spin-orbit interactions (a relativistic effect) split states of non-zero orbital momentum. Also, it is shown that as the characteristic time scales of interactions and inherent effects such as spontaneous emission scale differently with Z, the characteristic dynamics are not invariant to atomic number and it is not possible to rescale quantities to make them so. This work provides a guide for future Free-electron laser experiments on highly charged ions at X-ray wave- lengths.

•Jan 1, 2026•0 citations
Based on the semi-classical theory of the interaction between light and matter, we propose an effective scheme for describing the realization of single quantum gates. The rigorous analytical solution for the resonant system, in which the double ultra-short powerful laser pulses with accurately controllable relative phase difference will interact with the atoms, is obtained by solving the time-dependent Schrödinger equation. According to the corresponding solution, we deduce the systematic matrix expression of unitary transformation. Universal quantum logic gates are all implemented theoretically by means of regulating properly the laser pulses' intensity and its relative phase difference as well as the optic detuning. This method also proves practical in terms of its comparably easier manipulation.
We propose a scheme to implement a three-qubit controlled phase gate with one control qubit and two target qubits using quantum dots (QDs) in two coupled photonic crystal (PC) cavities A and B. In the scheme, three QDs are embedded in two coupled photonic crystal cavities and the transitions between the levels are only coupled to the cavity modes without being driven by the classical laser fields. We investigate the dynamics of the system consisting of resonant and off-resonant couplings between the cavity modes and QDs and solve the time-dependent Schrodinger equation analytically. The results show that a three-qubit controlled phase gate can be directly implemented using one operational step, by exchanging a single photon between the PC cavities A and B. This scheme greatly simplifies the gate operation in experiments.
Multiple-qubit quantum logic gates are an important element in the implementation of quantum computers. The direct construction of multiple-qubit quantum logic gates in an efficient way has important values compared to the construction of multiple-qubit gates using a series of two-qubit and single-qubit gates. We propose a scheme to construct a multiple-qubit CkU{\mathrm{C}}_{k}\mathrm{U}Ck​U gate (kkk denotes the number of control qubits and U means the arbitrary universal operation performed on the target qubit) in a neutral atom platform through the Rydberg blockade effect by successively exciting them to Rydberg states. This scheme takes advantage of the shortcut to adiabaticity of inverse engineering, geometric quantum operations, as well as optimized control theory. The geometric quantum computation considered in this manuscript guarantees the robustness to operational errors. Meanwhile, inverse engineering-based shortcut to adiabaticity provides a further advantage in terms of the speed of the system evolution compared to adiabatic processes. An additional feature of our multiple-qubit quantum logic gate is that arbitrary operation on the target atom can be realized by adjusting the amplitude and phase of the laser fields. Numerical simulation of the master equation based on the full Hamiltonian demonstrates the high fidelity of the proposed scheme and its robustness to operational errors and spontaneous emission.
Unlike classical digital computers in which a bit can represent either 1 or 0 at any time, quantum computers use a two-level system, i.e., a qubit, to implement logical operations based on quantum mechanical laws, which can represent both values at once. Owing to the superposition property of qubits, quantum computers have natural parallel processing advantages and thus have potential to exceed the computational efficiency of classical computers for particular tasks. Quantum logic gates are the generalization of classical logic gates in computational networks. It has been proved that two-qubit quantum gates together with one-qubit quantum gates are adequate for constructing networks with any possible quantum computational property. Directional couplers are the most critical elementsfor constructing the quantum gates. In recent years, photonic quantum technologies have emerged as a promising experimental platform for quantum computing. Single photons have robust noise resistance, long coherence time, high transmission speed and great compatibility with other systems. They can be easily manipulated and encoded in any of several degrees of freedom, for example, polarization, path, spatial mode or time bin. Optical waveguide technology enables the realizing of complex optical schemes comprised of many elements with desired scalability, stability and miniaturization. Femtosecond laser direct writing of waveguide has been adopted as a powerful tool for integrated quantum photonics with characteristics of rapidness, cost-effectiveness, mask-less and single-step process. In particular, it has the ability to build arbitrary three-dimensional circuits directly inside bulk materials, which is impossible to achieve with conventional lithography. In this article we review the femtosecond laser writing and quantum characterization of directional coupler and important one-qubit and two-qubit optical quantum logic gates, such as Hadamard gate, Pauli-X gate, controlled-NOT gate, and controlled-Phase gate. The qubits in these gates are usually encoded through optical paths or polarizations of photons. The key to the realization of polarization-encoded one-qubit gates is to achieve flexible wave-plate operations, which is described in detail. Controlled-NOT gate and controlled-phase gate are the most crucial two-qubit gates in the linear optics computation and sometimes they can be converted into each other by adding some one-qubit gates or special superposition states. Many different kinds of waveguide circuits have been used to implement these two-qubit gates. The outlook and challenges for the femtosecond laser writing of three-qubit gates, such as Toffoli gate and Fredkin gate, are briefly introduced.
Interactions between light and matter is one way to study both particles whose small spatial sizes render them irresolvable to our eyes and events where the characteristic time scale is too short for conventional recording and measurement techniques. The advent of free electron lasers allow laser pulses of high intensity and small temporal duration such that ultra-fast dynamics in matter systems and resulting non-linear effects can be resolved experimentally. This thesis discusses some theories to mathematically model such light-matter interactions and presents results based both on analytical expressions—where such expressions are available— from the Schrödinger and the Dirac equations as well as numerical calculations. Some models presented are a semi-classical model where light is treated classically and the atomic system quantum-mechanically and a statistical model which describes the light as quantized to feature effects like spontaneous emission and thermal excitation. The main theme of the thesis is relativistic effects and scalings of interaction effects with nuclear charge Z. The results discussed in the work shows that the equivalent characteristics of the dynamics of highly ionized hydrogen-like atoms predicted by the Schrödinger equation fail when relativistic effects are taken into account. This is shown to be a result of the quantities such as energy and mean radial distance from the nucleus not being exactly proportional to powers of Z in Dirac’s description of quantum mechanics. Further, deviations occur due to the necessary detuning of the driving laser field when spin-orbit interactions (a relativistic effect) split states of non-zero orbital momentum. Also, it is shown that as the characteristic time scales of interactions and inherent effects such as spontaneous emission scale differently with Z, the characteristic dynamics are not invariant to atomic number and it is not possible to rescale quantities to make them so. This work provides a guide for future Free-electron laser experiments on highly charged ions at X-ray wave- lengths.