用腔场中的二能级势阱离子实现量子逻辑门

利用光腔中的势阱粒子同时与外激光场和腔场发生相互作用的特性，我们提出了一种量子逻辑门的实现方案。在该方案中，我们采用文献[10-12]中的模型。文献[11-12]中实现的逻辑门是以离子内态和运动态作为量子比特，腔态充当辅助比特在计算过程中保持在基态。而[10]要求离子内态保持为基态，利用离子运动态和腔态构成量子比特。与文献[10-12]不同的是，我们实现的量子逻辑门是以粒子内态和腔态作为比特，而势阱离子的运动态作为辅助比特始终保持在基态。而且，我们对该方案的实验要求进行了讨论。     

基于奇偶校验门的非破坏性贝尔态测量

由于贝尔态测量是量子信息处理的前提,因此提出了一种针对贝尔态的非破坏性测量方案.在该方案中,将奇偶校验门作为关键器件,利用奇偶校验门不改变输入光子状态的特性实现了C-NOT门和Toffoli门.然后,将Toffoli门和Hadamard门结合实现了对4种贝尔态的确定性测量.所提方案可用于双光子纠缠态测量,并可推广到三光子纠缠态的应用场景中,为贝尔态测量与量子信息处理提供了新的思路.     

离子阱中以声子为媒介的多体量子纠缠与逻辑门

高保真度的多离子纠缠和量子逻辑门是离子阱量子计算的基础.在现有的方案中, M?lmer-S?rensen门是比较成熟的实现多离子纠缠和量子逻辑门的实验方案.近年来,还出现了通过设计超快激光脉冲序列,在Lamb-Dicke区域以外实现超快量子纠缠和量子逻辑门的方案.这些方案均借助离子链这一多体量子系统的声子能级来耦合离子之间的自旋状态,并且均通过调制激光脉冲或设计合适的脉冲序列解耦多运动模式,来提高纠缠门的保真度.本文从理论和实验层面分析了这些多体量子纠缠和量子逻辑门操作的关键技术,揭示了离子阱中利用激光场驱动离子链运动态,通过非平衡过程中的非线性相互作用,来实现量子逻辑门的基本物理过程.     

腔QED中利用超导量子干涉仪实现Toffoli门

基于腔量子电动力学技术,提出了利用三能级超导量子干涉仪实现Toffoli门的理论方案.利用超导量子干涉仪与腔场发生耦合,以及与外加经典脉冲发生共振跃迁来实现量子态的演化控制.该方案可以拓展到N比特Toffoli门的实现.最后,讨论了逻辑门的实验可行性,四比特Toffoli 门的作用时间约为30 nm,它远小于腔衰减时间...     

腔QED中利用超导量子干涉仪实现Toffoli门

基于腔量子电动力学技术,提出了利用三能级超导量子干涉仪实现Toffoli门的理论方案.利用超导量子干涉仪与腔场发生耦合,以及与外加经典脉冲发生共振跃迁来实现量子态的演化控制.该方案可以拓展到N比特Toffoli门的实现.最后,讨论了逻辑门的实验可行性,四比特Toffoli门的作用时间约为30 nm,它远小于腔衰减时间和较高能级的能量驰豫时间,从而足以实现量子态的操控.并且随着比特数的增多,Toffoli门作用时间的增幅较慢.     

实现量子逻辑门的一种多原子方案

考虑通过光纤连接的两个单模光学腔，每个腔中都束缚有多个二能级原子，原子与腔模集体共振相互作用，但原子之间没有直接的相互作用。在这样的系统中，我们发现，束缚在两个腔中的两团原子之间可以确定性地实现可靠的量子交换门，量子纠缠门和量子控制z门。与单原子方案比较，我们发现，多原子方案使得量子逻辑门的速度增大√N倍。同时，我们还注意到，共振相互作用能够加快量子控制Z门的实现速度。如果计人原子自发辐射和腔损对量子逻辑门的影响，我们发现，量子逻辑门保真度受耗散的影响随着原子数目的增大而减小。此外，在共振相互作用下，原子自发辐射和腔损对控制Z门的影响显著减小。     

可集成量子计算中的非近邻相互作用

我们研究一维自旋1／2链中的非近邻相互作用的影响。和近邻相互作用相比，非近邻的相互作用强度一般会较弱，因而在以前的许多方案中，这种长程的相互作用被忽略了。本文首先估计由被忽略的非近邻相互作用所引起的量子逻辑门的误差。我们得到的结果是，这项误差不仅和非近邻相互作用的强度有关，更依赖于一维自旋链所包含的粒子数，忽略非近邻相互作用有可能会对可集成量子计算造成影响。我们进一步研究如何消除或者压缩这种长程的相互作用所造成的影响。我们提出了一个量子计算方案。在这种方案中，次近邻的相互作用的影响被完全消除，从而我们可以使量子逻辑门的精度得以提高。我们也讨论了这种方案在超导量子计算体系里面的物理实现问题。     

几何量子计算

实现可集成的量子计算的关键步骤是实现保真度足够高的一组普适量子逻辑门，最近几年发展的几何量子计算使用几何位相来实现量子逻辑门，其特点是利用几何位相的整体几何性质来避免某些局域的无规噪声的影响，从而实现较高保真度的量子门，文章先简要介绍常规几何量子逻辑门的概念，然后重点介绍最近提出的非常规几何量子计算：量子计算中使用的逻辑门的总位相既包含有几何位相，又包含有动力学位相，但它仅依赖于一些几何特征，而且，对于任意的量子位输入态，在量子门操作过程中积累的位相要么是零，要么是仅依赖几何特征的位相。     

利用大失谐腔场中的两个原子实现量子相位门

本文讨论同时囚禁于单模、大失谐腔场中两个不同原子构成的系统,结论指出:只要仔细选择两不同原子的跃迁频率差、原子与腔场相互作用时间,可实现一个快速的量子相位门。这一方案不需要辅助的原子能级。     

非绝热几何量子逻辑门的脉冲设计

量子逻辑门是实现量子计算的基本组件之一，而高保真度和高鲁棒性是量子逻辑门必不可少的关键性质。在实现量子逻辑门的各种方法中，利用几何相位的全局特性来构造量子逻辑门是一个有效的方法，它可以对一些局域扰动有比较好的容错性。本文在非绝热几何量子计算的框架下，在三能级系统中构造出了任意的单比特量子逻辑门，并创建出在实验中方便实现的脉冲形式。本文进一步研究了量子系统中存在频率失谐和脉冲振幅偏差的情况，并考虑量子系统与环境之间的退相干效应，以设计出具有更好鲁棒性能的脉冲波形。     

A high-resolution,hybrid compact-WENO scheme with minimized dispersion and controllable dissipation

In this paper,a high-resolution,hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique.Firstly,a suffcient condition for a family of tri-diagonal compact schemes to have independent dispersion and dissipation is derived.Then,a specific 4th order compact scheme with low dispersion and adjustable dissipation is constructed and analyzed.Finally,the optimized compact scheme is blended with the WENO scheme to form the hybrid scheme.Moreover,the approximation dispersion relation approach is employed to optimize the spectral properties of the nonlinear scheme to yield the true wave propagation behavior of the finite difference scheme.Several test cases are carried out to verify the highresolution as well as the robust shock-capturing capabilities of the proposed scheme.     

2阶精度时间后差隐式格式TVD充分条件

非定常流动问题计算中常用到含三个时间层的二阶精度时间后差隐式格式,并且希望构成TVD格式,然而理论上的问题多年一直没有解决。本文找到了解决办法,构造了这种类型的隐式TVD格式,证明了其为TVD的充分条件。理论结果为计算所验证,并表明通常未采取本文对时间差分处理方法的格式尚不具备TVD性质。     

通过绝热过程制备W态

提出一种方案制备W态,方案基于暗态绝热过程。制备过程中,所有原子都处于基态,光纤模保持在真空态,在一定条件下可以忽略腔场激发,因此,方案非常抗消相干。方案的另一个优点是：只要满足绝热条件,不必要精确调节相互作用时间。方案成功的几率随原子数的增加而增加。     

通过绝热过程制备W态

提出一种方案制备W态,方案基于暗态绝热过程.制备过程中,所有原子都处于基态,光纤模保持在真空态,在一定条件下可以忽略腔场激发,因此,方案非常抗消相干.方案的另一个优点是:只要满足绝热条件,不必要精确调节相互作用时间.方案成功的几率随原子数的增加而增加.     

An improved monotone finite volume scheme for diffusion equation on polygonal meshes

We construct a new nonlinear monotone finite volume scheme for diffusion equation on polygonal meshes. The new scheme uses the cell-edge unknowns instead of cell-vertex unknowns as the auxiliary unknowns in order to improve the accuracy of monotone scheme. Our scheme is locally conservative and has only cell-centered unknowns. Numerical results are presented to show how our scheme works for preserving positivity on various distorted meshes. Specially, numerical results show that the new scheme is robust, and more accurate than the existing monotone scheme on some kinds of meshes.     

Multiple Observations for Secret-Key Binding with SRAM PUFs

We present a new Multiple-Observations (MO) helper data scheme for secret-key binding to an SRAM-PUF. This MO scheme binds a single key to multiple enrollment observations of the SRAM-PUF. Performance is improved in comparison to classic schemes which generate helper data based on a single enrollment observation. The performance increase can be explained by the fact that the reliabilities of the different SRAM cells are modeled (implicitly) in the helper data. We prove that the scheme achieves secret-key capacity for any number of enrollment observations, and, therefore, it is optimal. We evaluate performance of the scheme using Monte Carlo simulations, where an off-the-shelf LDPC code is used to implement the linear error-correcting code. Another scheme that models the reliabilities of the SRAM cells is the so-called Soft-Decision (SD) helper data scheme. The SD scheme considers the one-probabilities of the SRAM cells as an input, which in practice are not observable. We present a new strategy for the SD scheme that considers the binary SRAM-PUF observations as an input instead and show that the new strategy is optimal and achieves the same reconstruction performance as the MO scheme. Finally, we present a variation on the MO helper data scheme that updates the helper data sequentially after each successful reconstruction of the key. As a result, the error-correcting performance of the scheme is improved over time.     

Improvement of a Quantum Proxy Blind Signature Scheme

Improvement of a quantum proxy blind signature scheme is proposed in this paper. Six-qubit entangled state functions as quantum channel. In our scheme, a trust party Trent is introduced so as to avoid David’s dishonest behavior. The receiver David verifies the signature with the help of Trent in our scheme. The scheme uses the physical characteristics of quantum mechanics to implement message blinding, delegation, signature and verification. Security analysis proves that our scheme has the properties of undeniability, unforgeability, anonymity and can resist some common attacks.     

Generalized finite compact difference scheme for shock/complex flowfield interaction

A class of generalized high order finite compact difference schemes is proposed for shock/vortex, shock/boundary layer interaction problems. The finite compact difference scheme takes the region between two shocks as a compact stencil. The high order WENO fluxes on shock stencils are used as the internal boundary fluxes for the compact scheme. A lemma based on the property of smoothness estimators on a 5-points stencil is given to detect the shock position. There is no free parameter introduced to switch the compact scheme and the WENO scheme. Some numerical experiments are given and they demonstrate that the present scheme has low dissipation due to the compact central differencing scheme used in the smooth regions.     

利用交叉克尔效应制备六光子纠缠态

利用弱非线性的交叉克尔介质和对强相干探测场的动量积分零拍探测,呈现了一个关于制备六光子最大纠缠态的方案,如实现制备Dicke态和W态.在本方案中,只要相干探测光场的强度足够大时,对交叉克尔介质的非线性强度要求可以较弱,因而当前实验技术条件上均能满足本方案的要求.考虑到目前实验上实现单光子很是相对困难的,在信号模上仅用弱...     

Nonlinear spectral-like schemes for hybrid schemes

In spectral-like resolution-WENO hybrid schemes,if the switch function takes more grid points as discontinuity points,the WENO scheme is often turned on,and the numerical solutions may be too dissipative.Conversely,if the switch function takes less grid points as discontinuity points,the hybrid schemes usually are found to produce oscillatory solutions or just to be unstable.Even if the switch function takes less grid points as discontinuity points,the final hybrid scheme is inclined to be more stable,provided the spectral-like resolution scheme in the hybrid scheme has moderate shock-capturing capability.Following this idea,we propose nonlinear spectral-like schemes named weighted group velocity control(WGVC)schemes.These schemes show not only high-resolution for short waves but also moderate shock capturing capability.Then a new class of hybrid schemes is designed in which the WGVC scheme is used in smooth regions and the WENO scheme is used to capture discontinuities.These hybrid schemes show good resolution for small-scales structures and fine shock-capturing capabilities while the switch function takes less grid points as discontinuity points.The seven-order WGVC-WENO scheme has also been applied successfully to the direct numerical simulation of oblique shock wave-turbulent boundary layer interaction.