Quantum optimal control of the dissipative production of a maximally entangled state

Horn, Karl P.; Reiter, Florentin; Lin, Yiheng; Leibfried, D.; Koch, Christiane P.

doi:10.1088/1367-2630/aaf360

Cited by 31 publications

(27 citation statements)

References 47 publications

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“…where ρ(t) and H I (t) denote the overall density matrix and the interaction Hamiltonian in the interaction picture representation (see [31] for details). By integrating equation (8), inserting it once again in equation (8) and taking the partial trace as usual, we obtain an integro-differential equation for the reduced density matrix of the system…”

Section: Bloch-redfield Master Equation In the Secular Approximationmentioning

confidence: 99%

“…Open quantum systems of two coupled qubits are of fundamental importance in many disparate fields, being for instance at the basis of the realization of multi-qubit gates for quantum computation [1][2][3], distributed quantum sensing and metrology [4,5], and entanglement generation [6][7][8]. Such systems have been experimentally simulated in a variety of platforms, including trapped ions [9,10], superconducting qubits [11], or cavity QED arrays [12].…”

Section: Introductionmentioning

confidence: 99%

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Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation

et al. 2019

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Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost attention. In the recent past, many efforts have been made toward the possibility of employing local master equations, which compute the interaction with the environment neglecting the direct coupling between the qubits, and for this reason may be easier to solve. Here, we provide a detailed derivation of the Markovian master equation for two coupled qubits interacting with common and separate baths, considering pure dephasing as well as dissipation. Then, we explore the differences between the local and global master equation, showing that they intrinsically depend on the way we apply the secular approximation. Our results prove that the global approach with partial secular approximation always provides the most accurate choice for the master equation when Born-Markov approximations hold, even for small inter-system coupling constants. Using different master equations we compute the stationary heat current between two separate baths, the entanglement dynamics generated by a common bath, and the emergence of spontaneous synchronization, showing the importance of the accurate choice of approach.the case for most of the applications of the two-qubit problem, we will consider memory-less reservoirs, that is to say, we will study a Markovian master equation.Our detailed derivation allows us to establish the validity of the so-called local approach for the master equation in comparison with a global one in a rather general setting. The global approach arises naturally when deriving the master equation from a microscopic model considering the full system Hamiltonian, i.e. in presence of interactions between its subsystems (here the two qubits), while the local one follows from the approximation which neglects these interactions. Recently, the problem of characterizing the range of applicability of the local rather than global master equation has received much interest [25][26][27][28][29], mostly related to the consistency of this decription in quantum thermodynamics. It is our aim to show here that an accurate application of the secular approximation in the global approach always leads to a correct Markovian master equation, independently of the value of the coupling constant between the subsystems. The deep interconnection between a correct application of the secular approximation and the local versus global issue is discussed starting from the first principles of the derivation of the master equation. Deviations from the most accurate (global partial secular) approximation are illustrated by looking at the open system dynamics as well as the steady state. Moreover, we observe how the steady state heat current, the entanglement dynamics and the presence of quantum beats or quantum synchronization vary when using distinct master equations, so as to corroborate the validity (or inaccuracy) of each approach according to physical con...

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Section: Bloch-redfield Master Equation In the Secular Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation

et al. 2019

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“…The preparation and control of entangled states via dissipative engineering have attracted great interest in the last several years [1,2]. Different from the unitary evolution based schemes, these schemes use decoherence as a powerful resource in the state preparation process without destroying the quantum entanglement.…”

Section: Introductionmentioning

confidence: 99%

Selective Engineering for Preparing Entangled Steady States in Cavity QED Setup

Sousa

Roversi

2019

Quantum Reports

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We propose a dissipative scheme to prepare maximally entangled steady states in cavity QED setup, consisting of two two-level atoms interacting with the two counter-propagating whispering-gallery modes (WGMs) of a microtoroidal resonator. Using spontaneous emission and cavity decay as the dissipative quantum dynamical source, we show that the steady state of this system can be steered into a two-atom single state as well as into a two-mode single state. We probed the compound system with weak field coupled to the system via a tapered fiber waveguide, finding it is possible to determine whether the two atoms or two modes are driven to a maximally entangled state. Through the transmission and reflection measurements, without disturbing the atomic state, when the cavity modes are being driven, or without disturbing the cavity field state, when a single atom being driven, one can get the information about the maximal entanglement. We also investigated for both subsystem, two-atom and two-mode states, the entanglement generation and under what conditions one can transfer entanglement from one subsystem to the other. Our scheme can be selectively used to prepare both maximally entangled atomic state as well as maximally entangled cavity-modes state, providing an efficient method for quantum information processing.

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“…Further, some dissipative protocols can be implemented by continuous, stationary control fields, and can therefore be applied to prepare and continuously stabilize entangled states in the presence of noise. Numerous protocols for dissipative preparation of non-classical states have been demonstrated [5][6][7][8][9][10][11], and still more have been proposed and explored [3,4,[12][13][14][15][16][17][18][19][20][21]. An important characteristic of initial demonstrations [7,9] was the use of strong driving fields to create resonances that were resolved and addressed by weaker drives [3,22,23].…”

mentioning

confidence: 99%

“…Recently, schemes have been proposed that avoid these timescale hierarchies. Instead, these schemes make more efficient use of experimental resources such as symmetries and auxiliary degrees of freedom [18][19][20][21]24], and are generally expected to produce the desired target state with higher fidelity in less time.…”

mentioning

confidence: 99%

Resource-efficient dissipative entanglement of two trapped-ion qubits

Cole,

Erickson,

Zarantonello

et al. 2021

Preprint

Self Cite

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We demonstrate a simplified method for dissipative generation of an entangled state of two trapped-ion qubits. Our implementation produces its target state faster and with higher fidelity than previous demonstrations of dissipative entanglement generation and eliminates the need for auxiliary ions. The entangled singlet state is generated in ∼7 ms with a fidelity of 0.949(4). The dominant source of infidelity is photon scattering. We discuss this error source and strategies for its mitigation.

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Quantum optimal control of the dissipative production of a maximally entangled state

Cited by 31 publications

References 47 publications

Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation

Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation

Selective Engineering for Preparing Entangled Steady States in Cavity QED Setup

Resource-efficient dissipative entanglement of two trapped-ion qubits

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