Quantum iSWAP gate in optical cavities with a cyclic three-level system

In this paper we present a scheme to directly implement the iSWAP gate by passing a cyclic three-level system across a two-mode cavity quantum electrodynamics. In the scheme, a three-level $$\Delta $$Δ-type atom ensemble prepared in its ground state mediates the interaction between the two-cavity modes. For this theoretical model, we also analyze its performance under practical noise, including spontaneous emission and the decay of the cavity modes. It is shown that our scheme may have a high fidelity under the practical noise.

[1]  G. Burkard,et al.  Mechanically induced two-qubit gates and maximally entangled states for single electron spins in a carbon nanotube , 2015, 1508.02107.

[2]  Qian Liu,et al.  Efficient hyperentanglement purification for two-photon six-qubit quantum systems , 2016 .

[3]  Yong Li,et al.  Quantum routing of single photons with a cyclic three-level system. , 2013, Physical review letters.

[4]  Franco Nori,et al.  Optical selection rules and phase-dependent adiabatic state control in a superconducting quantum circuit. , 2005, Physical review letters.

[5]  Field squeeze operators in optical cavities with atomic ensembles. , 2004, Physical review letters.

[6]  J. Cirac,et al.  Quantum Computations with Cold Trapped Ions. , 1995, Physical review letters.

[7]  J. Cirac,et al.  Long-distance quantum communication with atomic ensembles and linear optics , 2001, Nature.

[8]  L. Kuang,et al.  Universal quantum gates between distant quantum dot spins , 2010 .

[9]  D. Deutsch,et al.  Rapid solution of problems by quantum computation , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[10]  E. Knill,et al.  A scheme for efficient quantum computation with linear optics , 2001, Nature.

[11]  Wang Yao,et al.  Theory of control of the spin-photon interface for quantum networks. , 2005, Physical review letters.

[12]  Yong Li,et al.  Generalized Stern-Gerlach effect for chiral molecules. , 2007, Physical review letters.

[13]  J. Cirac,et al.  Quantum State Transfer and Entanglement Distribution among Distant Nodes in a Quantum Network , 1996, quant-ph/9611017.

[14]  Sleator,et al.  Realizable Universal Quantum Logic Gates. , 1995, Physical review letters.

[15]  E Solano,et al.  Unconditional two-mode squeezing of separated atomic ensembles. , 2006, Physical review letters.

[16]  Xiao-Qiang Shao,et al.  Swap gate and controlled swap gate based on a single resonant interaction with cavity quantum electrodynamics , 2009 .

[17]  P. Král,et al.  Cyclic Population Transfer in Quantum Systems with Broken Symmetry , 2001 .

[18]  M. Xiao,et al.  Generation of a two-mode generalized coherent state in a cavity QED system , 2007 .

[19]  T. Said,et al.  Implementation of universal two- and three-qubit quantum gates in a cavity QED , 2016 .

[20]  Xiang‐Bin Wang,et al.  Beating the PNS attack in practical quantum cryptography , 2004 .

[21]  F. Nori,et al.  Microwave photonics with superconducting quantum circuits , 2017, 1707.02046.

[22]  Zheng-Fu Han,et al.  Quantum phase gate in an optical cavity with atomic cloud (4 pages) , 2006 .

[23]  J. Cirac,et al.  Sequential generation of matrix-product states in cavity QED , 2006, quant-ph/0612101.

[24]  M. S. Zubairy,et al.  Cavity-QED-based quantum phase gate , 2003 .

[25]  O. Astafiev,et al.  Resonance Fluorescence of a Single Artificial Atom , 2010, Science.

[26]  Guang-Can Guo,et al.  Quantum phase gate of photonic qubits in a cavity QED system , 2007 .

[27]  Thompson,et al.  Optical bistability and photon statistics in cavity quantum electrodynamics. , 1991, Physical review letters.

[28]  M. Luo,et al.  Distributed atomic quantum information processing via optical fibers , 2017, Scientific Reports.

[29]  H. Kimble,et al.  Scalable photonic quantum computation through cavity-assisted interactions. , 2004, Physical review letters.

[30]  C. Villas-Boas,et al.  Frequency up- and down-conversions in two-mode cavity quantum electrodynamics , 2003, quant-ph/0306126.

[31]  Guang-Can Guo,et al.  Quantum SWAP gate in an optical cavity with an atomic cloud , 2008 .

[32]  Sergey N. Andrianov,et al.  Fast and robust two- and three-qubit swapping gates on multi-atomic ensembles in quantum electrodynamic cavity , 2011, HPC.

[33]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[34]  N. Gershenfeld,et al.  Bulk Spin-Resonance Quantum Computation , 1997, Science.

[35]  P. Knight,et al.  The Quantum jump approach to dissipative dynamics in quantum optics , 1997, quant-ph/9702007.

[36]  Quantum cloning based on iSWAP gate with nitrogen-vacancy centers in photonic crystal cavities , 2014 .

[37]  Carlton M. Caves,et al.  QUANTUM LOGIC GATES IN OPTICAL LATTICES , 1999 .

[38]  Q. Gong,et al.  Coherent Polariton Dynamics in Coupled Highly Dissipative Cavities , 2014, 1405.3473.

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

[40]  J. Raimond,et al.  Manipulating quantum entanglement with atoms and photons in a cavity , 2001 .

[41]  L.-M. Duan,et al.  Implementation scheme of controlled SWAP gates for quantum fingerprinting and photonic quantum computation , 2007 .

[42]  J. Reichel,et al.  Photon emission and absorption of a single ion coupled to an optical-fiber cavity. , 2014, Physical review letters.

[43]  Correlated Photons from Collective Excitations of Three-Level Atomic Ensemble , 2005, quant-ph/0510149.

[44]  Barenco,et al.  Conditional Quantum Dynamics and Logic Gates. , 1995, Physical review letters.

[45]  D. DiVincenzo,et al.  Quantum computation with quantum dots , 1997, cond-mat/9701055.

[46]  E. Solano,et al.  Digital quantum simulation of spin models with circuit quantum electrodynamics , 2015, 1502.06778.