Effective W-state fusion strategies in nitrogen-vacancy centers via coupling to microtoroidal resonators.

We propose effective W-state fusion schemes for nonlocal electron-spin states and photon states by using the nitrogen-vacancy centers defect in diamond coupled to microtoroidal resonators. Using these schemes, a (m+n-1)-qubit W state can be obtained by fusing n-qubit and m-qubit W states (m, n ≥ 2), which means these schemes are applicable to create arbitrary scale W states with Bell states as the initial resource. The construction of these schemes is very compact and simple compared with the previous logical-gate-based fusion schemes. We analyze the feasibility and evaluate the optimal resource cost of the schemes, which shows that the present schemes can be realized with high fidelities and less resource cost than the previous schemes. Our schemes may be significant for the large-scale solid-state-based entanglement generation and for photon-qubit-based quantum information processing tasks.

[1]  Masato Koashi,et al.  An optical fusion gate for W-states , 2011, 1103.2195.

[2]  Masato Koashi,et al.  Local transformation of two einstein-podolsky-rosen photon pairs into a three-photon w state. , 2008, Physical review letters.

[3]  Masato Koashi,et al.  Elementary optical gate for expanding an entanglement web , 2008, 0803.1897.

[4]  J. Wrachtrup,et al.  Multipartite Entanglement Among Single Spins in Diamond , 2008, Science.

[5]  T. Rudolph,et al.  Resource-efficient linear optical quantum computation. , 2004, Physical review letters.

[6]  K. Kim,et al.  Quantum estimation of magnetic-field gradient using W-state , 2013, 1309.3994.

[7]  Fu-Guo Deng,et al.  Universal hyperparallel hybrid photonic quantum gates with dipole-induced transparency in the weak-coupling regime , 2014, 1411.0274.

[8]  Fatih Ozaydin,et al.  Phase damping destroys quantum Fisher information of W states , 2014 .

[9]  Can Yesilyurt,et al.  An optical gate for simultaneous fusion of four photonic W or Bell states , 2013, Quantum Inf. Process..

[10]  Li Dong,et al.  A nearly deterministic scheme for generating χ-type entangled states with weak cross-Kerr nonlinearities , 2013, Quantum Inf. Process..

[11]  Hai-Rui Wei,et al.  Universal photonic quantum gates assisted by ancilla diamond nitrogen-vacancy centers coupled to resonators , 2015 .

[12]  Raymond G. Beausoleil,et al.  Chip-based microcavities coupled to nitrogen-vacancy centers in single crystal diamond , 2009 .

[13]  Shou Zhang,et al.  Effective W-state fusion strategies for electronic and photonic qubits via the quantum-dot-microcavity coupled system , 2015, Scientific Reports.

[14]  Masato Koashi,et al.  Local expansion of photonic W state using a polarization-dependent beamsplitter , 2008, 0810.2850.

[15]  F. Jelezko,et al.  Observation of coherent oscillations in a single electron spin. , 2004, Physical review letters.

[16]  J. Cirac,et al.  Three qubits can be entangled in two inequivalent ways , 2000, quant-ph/0005115.

[17]  L. Jiang,et al.  Quantum entanglement between an optical photon and a solid-state spin qubit , 2010, Nature.

[18]  Chuan Wang,et al.  Concentration on partially entangled W-class states on nitrogen-vacancy centers assisted by microresonator , 2015 .

[19]  Liu-Yong Cheng,et al.  Simple schemes for universal quantum gates with nitrogen-vacancy centers in diamond , 2013 .

[20]  Zhuo-Liang Cao,et al.  Qubit-loss-free fusion of W states , 2016 .

[21]  H. Weinfurter,et al.  THREE-PARTICLE ENTANGLEMENTS FROM TWO ENTANGLED PAIRS , 1997 .

[22]  M. Murao,et al.  Quantum telecloning and multiparticle entanglement , 1998, quant-ph/9806082.

[23]  L. Childress,et al.  Supporting Online Material for , 2006 .

[24]  Shou Zhang,et al.  Deterministic implementation of optimal symmetric quantum cloning with nitrogen-vacancy centers coupled to a whispering-gallery microresonator , 2014 .

[25]  Stefan Nolte,et al.  On-chip generation of high-order single-photon W-states , 2014, Nature Photonics.

[26]  Ziyun Zhang,et al.  Probabilistically cloning two single-photon states using weak cross-Kerr nonlinearities , 2014 .

[27]  Ying Wu,et al.  Achieving maximum entanglement between two nitrogen-vacancy centers coupling to a whispering-gallery-mode microresonator. , 2013, Optics express.

[28]  Andreas W. Schell,et al.  Enhancement of the zero phonon line emission from a single nitrogen vacancy center in a nanodiamond via coupling to a photonic crystal cavity , 2010, 1008.3504.

[29]  Demosthenes Ellinas,et al.  Deterministic generation of an on-demand Fock state. , 2012, Optics express.

[30]  M. Feng,et al.  Quantum-information processing in decoherence-free subspace with low-Q cavities , 2010 .

[31]  Sahin Kaya Ozdemir,et al.  Fusing multiple W states simultaneously with a Fredkin gate , 2014, 1402.3152.

[32]  Qi Guo,et al.  Effective scheme for $$W$$W-state fusion with weak cross-Kerr nonlinearities , 2015, Quantum Inf. Process..

[33]  F. Jelezko,et al.  Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate. , 2004, Physical review letters.

[34]  Qiong Chen,et al.  Entangling separate nitrogen-vacancy centers in a scalable fashion via coupling to microtoroidal resonators , 2011 .

[35]  Runyao Duan,et al.  Obtaining a W state from a Greenberger-Horne-Zeilinger state via stochastic local operations and classical communication with a rate approaching unity. , 2014, Physical review letters.

[36]  Liu-Yong Cheng,et al.  Quantum state engineering with nitrogen-vacancy centers coupled to low-Q microresonator. , 2013, Optics express.

[37]  Zhuo-Liang Cao,et al.  Fusion of W states in a cavity quantum electrodynamic system , 2015 .

[38]  Can Yesilyurt,et al.  Enhancing the W State Quantum Network Fusion Process with A Single Fredkin Gate , 2013, 1303.4008.

[39]  Jason M. Smith,et al.  Prospects for measurement‐based quantum computing with solid state spins , 2009, 0901.3092.