Adiabatic passage for one-step generation of n-qubit Greenberger–Horne–Zeilinger states of superconducting qubits via quantum Zeno dynamics

An efficient scheme is proposed for generating n-qubit Greenberger–Horne–Zeilinger states of n superconducting qubits separated by ($$n-1$$n-1) coplanar waveguide resonators capacitively via adiabatic passage with the help of quantum Zeno dynamics in one step. In the scheme, it is not necessary to precisely control the time of the whole operation and the Rabi frequencies of classical fields because of the introduction of adiabatic passage. The numerical simulations for three-qubit Greenberger–Horne–Zeilinger state show that the scheme is insensitive to the dissipation of the resonators and the energy relaxation of the superconducting qubits. The three-qubit Greenberger–Horne–Zeilinger state can be deterministically generated with comparatively high fidelity in the current experimental conditions, though the scheme is somewhat sensitive to the dephasing of superconducting qubits.

[1]  Zhi-Bo Feng,et al.  Holonomic quantum computation with superconducting charge-phase qubits in a cavity , 2008 .

[2]  Yu. A. Pashkin,et al.  Quantum oscillations in two coupled charge qubits , 2002, Nature.

[3]  Yong-Fa Chen,et al.  One-step implementation of a Toffoli gate of separated superconducting qubits via quantum Zeno dynamics , 2016, Quantum Inf. Process..

[4]  Barry C Sanders,et al.  High-Fidelity Single-Shot Toffoli Gate via Quantum Control. , 2015, Physical review letters.

[5]  G. Vidal Efficient classical simulation of slightly entangled quantum computations. , 2003, Physical review letters.

[6]  Siyuan Han,et al.  Coherent Temporal Oscillations of Macroscopic Quantum States in a Josephson Junction , 2002, Science.

[7]  R. Barends,et al.  Superconducting quantum circuits at the surface code threshold for fault tolerance , 2014, Nature.

[8]  Yan Liang,et al.  Generation of atomic NOON states via adiabatic passage , 2014, Quantum Inf. Process..

[9]  Yan Xia,et al.  Generation of three-atom singlet state in a bimodal cavity via quantum Zeno dynamics , 2012, Quantum Information Processing.

[10]  John M. Martinis,et al.  Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing , 2014 .

[11]  F. Nori,et al.  Generation of nonclassical photon states using a superconducting qubit in a microcavity , 2004, quant-ph/0402189.

[12]  G. Guo,et al.  Efficient scheme for two-atom entanglement and quantum information processing in cavity QED , 2000, Physical review letters.

[13]  Xiao-Qiang Shao,et al.  Deterministic generation of arbitrary multi-atom symmetric Dicke states by a combination of quantum Zeno dynamics and adiabatic passage , 2010 .

[14]  Jie Song,et al.  One-step generation of multiatom Greenberger–Horne–Zeilinger states in separate cavities via adiabatic passage , 2013, 1301.0684.

[15]  Yasunobu Nakamura,et al.  Quantum Oscillations in Two Coupled Charge Qubits , 2003 .

[16]  Kavita Dorai,et al.  Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor , 2014, 1407.3448.

[17]  P. Facchi,et al.  Quantum Zeno subspaces. , 2002, Physical review letters.

[18]  Y. Makhlin,et al.  Quantum-state engineering with Josephson-junction devices , 2000, cond-mat/0011269.

[19]  Shi-Biao Zheng,et al.  One-step synthesis of multiatom Greenberger-Horne-Zeilinger states. , 2001, Physical review letters.

[20]  J. Gambetta,et al.  Superconducting qubit in a waveguide cavity with a coherence time approaching 0.1 ms , 2012, 1202.5533.

[21]  Xin Wei,et al.  Preparation of multi-qubit W states in multiple resonators coupled by a superconducting qubit via adiabatic passage , 2015, Quantum Inf. Process..

[22]  S. Das Sarma,et al.  How to Enhance Dephasing Time in Superconducting Qubits , 2007, 0712.2225.

[23]  H. Kimble,et al.  Efficient engineering of multiatom entanglement through single-photon detections. , 2003, Physical review letters.

[24]  Erik Lucero,et al.  Synthesizing arbitrary quantum states in a superconducting resonator , 2009, Nature.

[25]  Chui-Ping Yang,et al.  Generation of Greenberger-Horne-Zeilinger entangled states of photons in multiple cavities via a superconducting qutrit or an atom through resonant interaction , 2012, 1202.2084.

[26]  Nikolay V. Vitanov,et al.  Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage , 1999 .

[27]  P. Král,et al.  Colloquium: Coherently controlled adiabatic passage , 2007 .

[28]  Charles H. Bennett,et al.  Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.

[29]  S. Girvin,et al.  Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture. , 2011, Physical review letters.

[30]  T. Monz,et al.  14-Qubit entanglement: creation and coherence. , 2010, Physical review letters.

[31]  Yan Xia,et al.  Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving , 2014, Scientific Reports.

[32]  F. Nori,et al.  Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems , 2012, 1204.2137.

[33]  B. Shore,et al.  Coherent population transfer among quantum states of atoms and molecules , 1998 .

[34]  Ye-Hong Chen,et al.  Deterministic generation of singlet states for $$N$$N-atoms in coupled cavities via quantum Zeno dynamics , 2014, Quantum Inf. Process..

[35]  Xiao-Qiang Shao,et al.  One-step implementation of the Toffoli gate via quantum Zeno dynamics , 2009 .

[36]  Xin Ji,et al.  Adiabatic passage for three-dimensional entanglement generation through quantum Zeno dynamics. , 2014, Optics express.

[37]  Yuan Wang,et al.  Preparation of three-qubit decoherence-free state via quantum Zeno dynamics , 2013, Quantum Inf. Process..

[38]  P. Joyez,et al.  Manipulating the Quantum State of an Electrical Circuit , 2002, Science.

[39]  Andrew W. Cross,et al.  Implementing a strand of a scalable fault-tolerant quantum computing fabric , 2013, Nature Communications.

[40]  Wei Feng,et al.  Generating and stabilizing the Greenberger-Horne-Zeilinger state in circuit QED: Joint measurement, Zeno effect, and feedback , 2011, 1101.4327.

[41]  Jay M. Gambetta,et al.  Preparation and measurement of three-qubit entanglement in a superconducting circuit , 2010, Nature.

[42]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[43]  Giuseppe Marmo,et al.  Quantum Zeno dynamics and quantum Zeno subspaces , 2007, 0711.4280.

[44]  Chui-Ping Yang,et al.  Generating entanglement between microwave photons and qubits in multiple cavities coupled by a superconducting qutrit , 2011, 1106.3237.

[45]  K. Gao,et al.  Generation of N-qubit W states with rf SQUID qubits by adiabatic passage , 2006, quant-ph/0612161.

[46]  Chui-Ping Yang Preparation of n-qubit Greenberger-Horne-Zeilinger entangled states in cavity QED: An approach with tolerance to nonidentical qubit-cavity coupling constants , 2011 .

[47]  G. Guo,et al.  Quantum logic gate operation and entanglement with superconducting quantum interference devices in a cavity via a Raman transition , 2005 .

[48]  Yuriy Makhlin,et al.  Dephasing of solid-state qubits at optimal points. , 2003, Physical review letters.

[49]  Guo Guangcan,et al.  Erratum: Quantum logic gate operation and entanglement with superconducting quantum interference devices in a cavity via a Raman transition [Phys. Rev. A 71, 052310 (2005)] , 2005 .

[50]  Guang-Can Guo,et al.  Experimental generation of an eight-photon Greenberger-Horne-Zeilinger state. , 2011, Nature communications.