Strong magnetic coupling of an inhomogeneous nitrogen-vacancy ensemble to a cavity

Sandner, K.; Ritsch, Helmut; Amsuss, Robert; Koller, Ch.; Nöbauer, Tobias; Putz, Stefan; Schmiedmayer, Jörg; Majer, Johannes

doi:10.1103/physreva.85.053806

Cited by 73 publications

(105 citation statements)

References 25 publications

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“…To investigate the temperature dependence of the collective coupling strength to each mode, we measure transmission spectra at several temperatures in the range 0.25-1.2 K and perform the same analysis as above [14,15,25]. The results are shown in Fig.…”

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confidence: 99%

Probing Dynamics of an Electron-Spin Ensemble via a Superconducting Resonator

et al. 2013

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We study spin relaxation and diffusion in an electron-spin ensemble of nitrogen impurities in diamond at low temperature (0.25-1.2 K) and polarizing magnetic field (80-300 mT). Measurements exploit mode-and temperature-dependent coupling of hyperfine-split sub-ensembles to the resonator. Temperature-independent spin linewidth and relaxation time suggest that spin diffusion limits spin relaxation. Depolarization of one sub-ensemble by resonant pumping of another indicates fast cross-relaxation compared to spin diffusion, with implications on use of sub-ensembles as independent quantum memories.PACS numbers: 42.50.Pq, 03.67.Lx The study of spin ensembles coupled to superconducting integrated circuits is of both technological and fundamental interest. An eventual quantum computer may involve a hybrid architecture [1-4] combining superconducting qubits for processing of information, solid-state spins for storage, and superconducting resonators for interconversion. Additionally, superconducting resonators allow the study of spin ensembles at low temperatures with ultra-low excitation powers and high spectral resolution [5,6]. While one spin couples to one microwave photon with strength g/2π ∼ 10 Hz, an ensemble of N spins collectively couples with g ens = g √ N [7,8], reaching the strong-coupling regime g ens > κ, γ at N 10 12 [8][9][10], where κ and γ are the circuit damping and spin dephasing rates, respectively.Among the solid-state spin ensembles under consideration, nitrogen defects in diamond (P1 centers) [11] are excellent candidates for quantum information processing. Diamond samples can be synthesized with P1 centers as only paramagnetic impurities. Additionally, samples with spin densities ranging from highly dense (> 200 ppm) to very dilute (< 5 ppb) are commercially available, allowing the tailoring of spin linewidth (γ ∝ N [12]) and collective strength (g ens ∝ √ N ). In contrast to nitrogen-vacancy centers in diamond [13] and rare-earth ions in Y 2 SiO 5 [14, 15], P1 centers are optically inactive, making a coupled microwave resonator an ideal probe for their study. However, the magnetic fields 100 mT needed to polarize the ensemble at the few-GHz transition frequencies of circuits [16] must not compromise superconductivity. The freezing of all spin dynamics in a high-purity P1 ensemble by the field would allow quenching spin decoherence [17] through dynamical decoupling [18], realizing a useful quantum memory. * These authors contributed equally to this work.Here, we investigate the dynamics of a P1 electron-spin ensemble probed by controlled coupling to two modes of a coplanar waveguide (CPW) resonator. The resonator is patterned on a NbTiN film [19] withstanding applied magnetic fields beyond 300 mT. Three hyperfine-split spin sub-ensembles are clearly resolved over the temperature range 0.25-1.2 K. The collective coupling of each arXiv:1208.5473v1 [cond-mat.mes-hall]

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confidence: 99%

Probing Dynamics of an Electron-Spin Ensemble via a Superconducting Resonator

et al. 2013

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“…In the system, the coupling strength between an NVE and a TLR can be enhanced to about 10 ∼ 65 MHz [47,49], and the NVE can act as either a qubit or a good memory because the coherence time of an NV-center is much longer than that of an SPQ [46].…”

Section: Discussion and Summarymentioning

confidence: 99%

“…For example, in 2010, Kubo and coworkers [47] realized the strong coupling of a spin ensemble, which is composed of NV-centers in a diamond crystal, to a superconducting resonator. In 2012, Sandner et al [49] showed that a dense NVE can be coupled to a high-Q superconducting resonator at low temperature both in experiment and in theory. In 2011, Kubo et al [50] reported the experimental realization of a hybrid quantum circuit combining a superconducting transmon qubit and an NVE.…”

Section: Introductionmentioning

confidence: 99%

“…As a result of long coherence time of the NV-center spin [46] and the * Corresponding author: aiqing@bnu.edu.cn strong coupling between nitrogen-vacancy-center ensemble (NVE) and superconducting resonator [47][48][49], the hybrid system composed of diamond NVE and superconducting circuit plays a good platform for quantum information processing. Recently, a lot of theoretical and experimental works have been done in the quantum information processing based on the hybrid system [47,[49][50][51][52]. For example, in 2010, Kubo and coworkers [47] realized the strong coupling of a spin ensemble, which is composed of NV-centers in a diamond crystal, to a superconducting resonator.…”

Section: Introductionmentioning

confidence: 99%

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Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED

Tao

Hua

et al. 2015

Phys. Rev. A

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With the local resonant interaction between a nitrogen-vacancy-center ensemble (NVE) and a superconducting coplanar resonator, and the single-qubit operation, we propose two protocols for the state transfer between two remote NVEs and for fast controlled-phase (c-phase) on these NVEs, respectively. This hybrid quantum system is composed of two distant NVEs coupled to separated high-Q transmission line resonators (TLRs), which are interconnected by a current-biased Josephsonjunction superconducting phase qubit. The fidelity of our state-transfer protocol is about 99.65% within the operation time of 70.60 ns. The fidelity of our c-phase gate is about 98.23% within the operation time of 93.87 ns. Furthermore, using the c-phase gate, we construct a two-dimensional cluster state on NVEs in n × n square grid based on the hybrid quantum system for the one-way quantum computation. Our protocol may be more robust, compared with the one based on the superconducting resonators, due to the long coherence time of NVEs at room temperature.

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“…1/2 [33], which leads to the enhancement of a single coupling strength, g j , by a factor of √ N (N ≈ 10 12 in [29]). We are aiming at the transfer of information from the cavity to the spin ensemble, its storage over a well-defined period of time, and its transfer back to the cavity.…”

Section: Theoretical Modelmentioning

confidence: 99%

Optimal control of non-Markovian dynamics in a single-mode cavity strongly coupled to an inhomogeneously broadened spin ensemble

Krimer¹,

Hartl²,

Mintert³

et al. 2017

Phys. Rev. A

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Ensembles of quantum mechanical spins offer a promising platform for quantum memories, but proper functionality requires accurate control of unavoidable system imperfections. We present an efficient control scheme for a spin ensemble strongly coupled to a single-mode cavity based on a set of Volterra equations relying solely on weak classical control pulses. The viability of our approach is demonstrated in terms of explicit storage and readout sequences that will serve as a starting point towards the realization of more demanding full quantum mechanical optimal control schemes.

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Strong magnetic coupling of an inhomogeneous nitrogen-vacancy ensemble to a cavity

Cited by 73 publications

References 25 publications

Probing Dynamics of an Electron-Spin Ensemble via a Superconducting Resonator

Probing Dynamics of an Electron-Spin Ensemble via a Superconducting Resonator

Quantum-information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED

Optimal control of non-Markovian dynamics in a single-mode cavity strongly coupled to an inhomogeneously broadened spin ensemble

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