The non-Markovian dynamics of a three-level quantum system coupled to bosonic environment is difficult problem due the lack an exact dynamic equation such as master equation. We present for first time trajectory approach dissipative model. have established convolutionless stochastic Schr\"odinger called time-local state diffusion (QSD) without any approximations, in particular, Markov approximation. Our QSD opens new avenue exploring higher dimensional environment.

A stable and fast path linking two arbitrary states of a quantum system is generally required for state-engineering protocols, such as stimulated Raman adiabatic passage, shortcuts to adiabaticity, holonomic transformation. Such also fundamental the exact solution time-dependent Schrödinger equation. We construct universal control framework using an ancillary picture, in which Hamiltonian can be diagonalized. Multiple desired paths derived by von Neumann equation parametric projection...

We propose a level-resolved protocol in hybrid architecture for connecting superconducting qubit and magnon mode contained within microwave cavity (resonator) to generate local global entangled states, enabling wide range of applications quantum communication, metrology, information processing. Exploiting the high-degree controllability such qubit-photon-magnon system, we derive effective Hamiltonians at second-order resonant points by virtue strong general Rabi interactions between...

Nonadiabatic holonomic quantum gates are high-speed and robust. Nevertheless, they were found to be more fragile than the adiabatic when systematic errors become dominant. Inspired by dark-path scheme that was used partially relieve error in absence of external noise, we construct a universal set nonadiabatic $N$-qubit using Rydberg-Rydberg interaction between atoms under off-resonant driving. Based on an effective four-level configuration Rydberg-atom system, modified geometric present...

Non-Markovian dynamics is studied for two interacting qubits strongly coupled to a dissipative bosonic environment. We derive non-Markovian quantum-state-diffusion (QSD) equation the two-qubit system without any approximations, and in particular, Markov approximation. As an application illustration of our derived time-local QSD equation, we investigate temporal behavior quantum coherence dynamics. In find regime where entanglement generation significantly modulated by environmental memory....

Quantum conversion or interface is one of the most prominent protocols in quantum information processing and state engineering. We propose a photon-phonon protocol hybrid magnomechanical system comprising microwave optical mode, driven magnon mode mechanical-vibrating mode. The photons cavity are coupled to magnons by magnetic-dipole interaction, latter mechanical phonons magnetostrictive interaction. With strong photon-magnon interaction driving on magnon, an effective Hamiltonian...

We propose a quantum charging scheme fueled by measurements on ancillary qubits serving as disposable chargers. A stream of identical are sequentially coupled to battery $N+1$ levels and measured projective operations after joint unitary evolutions optimized intervals. If charger prepared in excited state ground state, then their excitations (energy) can be near-perfectly transferred iteratively updating the measurement Starting from its could constantly charged an even higher energy level....

We propose a scheme for inverse engineering control in open quantum systems. Starting from an undetermined time evolution operator, time-dependent Hamiltonian is derived order to guide the system attain arbitrary target state at predefined time. calculate fidelity of our protocol presence noise with respect stochastic fluctuation linear parameters during evolution. For special family Hamiltonians two-level systems, we show that under can be categorized into two standard decohering processes:...

Dynamical decoupling operations have been shown to reduce errors in quantum information processing. Leakage from an encoded subspace the rest of system space is a particularly serious problem for which leakage elimination operators (LEOs) were introduced. Here we provide analysis nonideal pulses, rather than well-understood idealization or bang-bang controls. Under realistic conditions, show that these controls will same protection as idealized Our work indicates effectiveness LEOs depends...

Abstract Quantum physics dictates fundamental speed limits during time evolution. We present a quantum limit governing the generation of nonclassicality and mutual incompatibility two states connected by This result is used to characterize timescale required generate given amount quantumness under an arbitrary physical process. The bound found be tight pure dephasing dynamics. More generally, our analysis reveals dependence on initial final non-Markovian effects.

Abstract Holonomic quantum computation (HQC) may not show its full potential in speedup due to the prerequisite of a long coherent runtime imposed by adiabatic condition. Here we that conventional HQC can be dramatically accelerated using external control fields, which effectiveness is exclusively determined integral fields time domain. This scheme realized with net zero energy cost and it fault-tolerant against fluctuation noise, significantly relaxing experimental constraints. We...

Quantum battery is one of the most prominent micro-devices in rapid-developing quantum thermodynamics. We propose a charging protocol which both and charger are consisted many-spin system. The connected via Kittle mode magnon system, that serves as wire then enables long-range protocol. Counter-intuitively, we find spin-spin couplings insider can be used to promote performance comparison noninteracting condition. And remarkable promotion realized at "sweet" spot terms average coupling...

A stable and high-quality single-magnon state is desired by the source for quantum-information application with a macroscopic spin system. We consider hybrid system where magnon mode directly coupled to nonresonant superconducting qubit via exchange interaction. The are under driving probing fields same frequency, respectively. find that probability ${P}_{1}$ can be maximized when product of magnon-driving field detuning qubit-probing equivalent square magnon-qubit coupling strength,...

An open quantum system with multiple levels coupled to a bosonic environment at zero temperature is investigated systematically using the non-Markovian quantum-state-diffusion (QSD) method [W. T. Strunz, L. Di\'osi, and N. Gisin, Phys. Rev. Lett. 82, 1801 (1999)]. We have established exact time-local QSD equations for set of interesting multilevel systems, including high-spin multiple-transition atomic models, models driven by time-dependent external fields. These paved way evaluate dynamics...

It is proposed that high-speed universal quantum gates can be realized by using non-Abelian holonomic transformation. A cyclic evolution path which brings the system periodically back to a degenerate qubit subspace crucial computing. The nature and resulting gate operations are fully dependent on precise control of driving parameters, such as modulated envelop function Rabi frequency phases. We investigate effects fluctuations in these parameters transformation fidelity set single-qubit...

The adiabatic theorem addresses the dynamics of a target instantaneous eigenstate time-dependent Hamiltonian. We use Feshbach P-Q partitioning technique to derive closed one-component integro-differential equation. resultant equation properly traces footprint eigenstate. physical significance derived dynamical is illustrated by both general analysis and concrete examples. Surprisingly, we find an anomalous phenomenon showing that dephasing white noise can enhance even induce adiabaticity....

Quantum battery works as a micro- or nano-device to store and redistribute energy at the quantum level. Here we propose spin-charger protocol, in which cells are charged by finite number of spins through general Heisenberg XY interaction. Under isotropic interaction, protocol is endowed with higher capacity terms maximum stored than conventional protocols, where continuous-variable system, e.g., cavity mode. By tuning charger size, trade-off between average charging power found comparison...

A hybrid system established by the direct interaction between a magnon mode and superconducting transmon qubit is used to realize high-degree blockade for magnon. It fundamental way toward quantum manipulation at level of single preparation sources. Through weakly driving probing qubit, our magnon-blockade proposal can be optimized when transversal coupling strength equivalent detuning field or that field. Under this condition, equal-time second-order correlation function ${g}^{(2)}(0)$...

In spin-based nanosystems for quantum information processing, electron spin qubits are subject to decoherence due their interactions with nuclear environments. this paper, we present an exact master equation a central spin-1/2 system in time-dependent external fields and coupled spin-half bath terms of hyperfine interaction. The provides unified description free controlled dynamics the is formally independent details size Different from previous approaches, remains even presence control...

We propose a scheme that can generate microwave-controlled optical double optomechanical induced transparency (OMIT) in hybrid piezo-optomechanical cavity system which piezoelectric crystal AlN-nanobeam resonator is placed superconducting coplanar microwave cavity. show when an intense field applied to the cavity, with strong pump and weak probe through waveguide, transmission window be obtained output field. This phenomenon arises because $N$-type four-level formed our scheme, under effects...