Nonadiabatic holonomic quantum computation (NHQC) has been developed to shorten the construction times of geometric gates. However, previous NHQC gates require driving Hamiltonian satisfy a set rather restrictive conditions, reducing robustness resulting against control errors. Here we show that nonadiabatic can be constructed in an extensible way, called NHQC+, for maintaining both flexibility and certain types noises. Consequently, this approach makes it possible incorporate most existing...

When a quantum system is driven adiabatically through parametric cycle in degenerate Hilbert space, the state would acquire non-Abelian geometric phase, which stable and forms foundation for holonomic computation (HQC). However, adiabatic limit, environmental decoherence becomes significant source of errors. Recently, various non-adiabatic HQC schemes have been proposed, but all at price increased sensitivity to control Alternatively, there exist theoretical proposals speeding up by...

Geometric phases are well known to be noise resilient in quantum evolutions and operations. Holonomic gates provide us with a robust way towards universal computation, as these actually induced by non-Abelian geometric phases. Here we propose elaborate how efficiently implement nonadiabatic holonomic on simpler superconducting circuits, single transmon serving qubit. In our proposal, an arbitrary single-qubit gate can realized single-loop scenario varying the amplitudes phase difference of...

Adiabatic quantum control is a powerful tool for engineering and key component in some computation models, where accurate over the timing of involved pulses not needed. However, adiabatic condition requires that process be very slow thus limits its application computation, gates are preferred to fast due limited coherent times systems. Here, we propose feasible scheme implement universal holonomic based on non-Abelian geometric phases with superadiabatic control, manipulation sped up while...

We propose a nontrivial two-qubit gate scheme in which Rydberg atoms are subject to designed pulses resulting from geometric evolution processes. By utilizing hybrid robust nonadiabatic and adiabatic operations on the control atom target atom, respectively, we improve robustness of against Rabi errors as well blockade comparison with conventional gate. Numerical results current state-of-the-art experimental parameters corroborates above mentioned robustness. also evaluate influence induced...

Knowledge Graph (KG) reasoning has been an interesting topic in recent decades. Most current researches focus on predicting the missing facts for incomplete KG. Nevertheless, Temporal KG (TKG) reasoning, which is to forecast future facts, still faces with a dilemma due complex interactions between entities over time. This article proposes novel intricate Spatiotemporal Dependency learning Network (STDN) based Convolutional (GCN) capture underlying correlations of entity at different...

Geometric phases accompanying adiabatic quantum evolutions can be used to construct robust control for information processing due their noise-resilient feature. A significant development along this line is geometric gates using nonadiabatic reduce errors decoherence. However, it has been shown that are not necessarily more than dynamical ones, in contrast an intuitive expectation. Here we experimentally investigate issue the case of holonomic computation (NHQC) and show conventional NHQC...

Nonadiabatic holonomic quantum computation~(NHQC) provides an essential way to construct robust and high-fidelity gates due its geometric features. However, NHQC is more sensitive the decay dephasing errors than conventional dynamical gate since it requires ancillary intermediate state. Here, we utilize Hamiltonian reverse engineering technique study influence of state-decoherence on fidelity, propose novel schemes arbitrary single-qubit nontrivial two-qubit with high fidelity robustness...

The stimulated Raman adiabatic passage shows an efficient technique that accurately transfers population between two discrete quantum states with the same parity in three-level systems based on evolution. This has widely theoretical and experimental applications many fields of physics, chemistry, beyond. Here, we present a general approach to robust shortcut-to-adiabatic invariant-based optimal control. By controlling dynamical process, inversely design family Hamiltonians non-divergent Rabi...

Based on the geometrical nature of quantum phases, non-adiabatic holonomic control (NHQC) has become a standard technique for enhancing robustness in constructing gates. However, conventional approach NHQC is sensitive to instability, as it requires driving pulses cover fixed pulse area. Furthermore, even small-angle rotations, all operations need be completed with same duration time. Here we experimentally demonstrate time-optimal and unconventional (called TOUNHQC), which can optimize...

Adiabatic process has found many important applications in modern physics, the distinct merit of which is that it does not need accurate control over timing process. However, a slow process, limits application quantum computation, due to limited coherent times typical systems. Here, we propose scheme implement state conversion opto-electro-mechanical systems via shortcut adiabaticity, where can be greatly speeded up while precise still necessary. In our scheme, only by modifying coupling...

In quantum control, geometrical operations could provide an extra layer of robustness against control errors. However, the conventional non-adiabatic holonomic computation (NHQC) is limited by fact that all require exactly same amount evolution time, even for a small-angle rotation. Furthermore, NHQC confines driving part Hamiltonian to strictly cover fixed pulse area, making it sensitive Here we present unconventional approach NHQC, termed brachistochronic bypassing these limitations....

Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust gate. However, the conventional NGQC is that all of gates are performed with exactly sameamount time, whether rotation angle large or small, due limitation cyclic condition. Here, we propose an unconventional scheme, called nonadiabatic noncyclic computation(NNGQC), arbitrary single- two-qubit gate can be constructed via non-Abeliangeometric phase. Consequently, this scheme makes it possible...

The unsteady blade row interaction (UBRI) is inherent and usually has a large effect on performance in multistage axial compressors. could be considered by using the average-passage equation system (APES) steady-state environment introducing deterministic correlations (DC). How to model DC key APES method. primary purpose of this study develop for compressor routine design. technique investigated 3D viscous time-averaging Computational fluid dynamics (CFD) flow solver developed our previous...

The non-Abelian geometric phases appear only in a degenerate subspace and the most familiar model with such is $N$-pod system. Here we propose an alternative system to realize gauge structure. We demonstrate that three-level triangular form can have two eigenstates which induce phases, notably they are lowest of As application subspace, experimentally feasible scheme universal set quantum gates based on adiabatic phases. To shorten evolution time constrained by condition, shortcut...

Abstract Stimulated Raman adiabatic passage (STIRAP) is a standard technique to combat experimental imperfections and can be used realize robust quantum state control, which has many applications in physics, chemistry, beyond. However, STIRAP susceptible decoherence since it requires long evolution time. To overcome this problem, stimulated ‘user-defined’ (STIRUP) proposed, allows users design the passages unlike but fast against both imperfections. Here, we further develop more general...

Adiabatic quantum-control schemes are widely used in the areas of quantum-information processing and quantum sensing. The very requirement adiabaticity these often leads to problems low efficiency being sensitive decoherence. To address such issues, various methods have been developed for accelerating adiabatic processes, but they need be designed on an $ad\phantom{\rule{0.2em}{0ex}}hoc$ basis. Here we propose experimentally demonstrate inverse-engineering approach, where a parameterized...

Manufacture variations can greatly increase the performance variability of compressor blades. Current robust design optimization methods have a critical role in reducing adverse impact variations, but be affected by errors if assumptions deviation models and distribution parameters are inaccurate. A new approach for without employment is proposed. The package method interval estimation exploited this approach. Simultaneously, stratified strategy used to reduce computational cost assure...

Rydberg atoms possess long coherence time and inherent scalability, which makes it promising to implement quantum algorithms. An exact robust search algorithm (SA) is essential some practical applications. Here we propose a multisolution three-qubit SA by employing circuit geometric operations, in the target states can be successfully searched with fidelity of at least 99.8$%$ operators guarantee robustness against systematic errors. In particular, gate employed reduce implementation help...

We propose a geometric quantum computation (GQC) scheme, called Floquet GQC (FGQC), where error-resilient gates based on periodically driven two-level systems can be constructed via non-Abelian phase proposed in recent study [V. Novi\ifmmode \check{c}\else \v{c}\fi{}enko and G. Juzeli\ifmmode \bar{u}\else \={u}\fi{}nas, Phys. Rev. A 100, 012127 (2019)]. Based Rydberg atoms, we give possible implementations of universal FGQC single-qubit nontrivial two-qubit gate. By using numerical...

Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic (NHQC) have been proposed to reduce the run time of gates. However, in terms robustness against experimental control errors, existing NGQC NHQC scenarios no advantage over standard dynamical gates most cases. Here, we give reasons why are sensitive errors and, further, propose a scheme super-robust control, which condition can guarantee both high speed gate. To illustrate working mechanism gates, two simple examples...

Non-Abelian geometric phases acquired in cyclic quantum evolution can be utilized as natural resources for constructing robust holonomic gates information processing. Recently, an extensible computation (HQC) was proposed and demonstrated a recent superconducting experiment [T. Yan et al., Phys. Rev. Lett. 122, 080501 (2019)]. However, the weakly anharmonic system, this HQC given of low gate fidelity due to leakage states outside computational subspace. Here, we propose scheme that construct...