CNOT gate on reverse photon modes in a ring cavity

AbstractPhoton modes of the reverse rotation in a ring QED cavity coupled with a single atom are considered. By applying the Schrieffer–Wolf transformation for the off-resonant light–atom interaction, an effective Hamiltonian of the photon modes evolution is obtained. Heisenberg equations for the input–output photon mode operators are written, and the expression for the wave function of the system is found. The analytical solution shows the condition of the control NOT quantum gate implementation on chiral photon modes. A possible on-chip experimental implementation and recommendations for the construction of an optical quantum computer using this gate are considered.

[1]  J. Knight,et al.  Phase-matched excitation of whispering-gallery-mode resonances by a fiber taper. , 1997, Optics letters.

[2]  F. Bussières,et al.  Broadband waveguide quantum memory for entangled photons , 2010, Nature.

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

[4]  S. Straupe,et al.  Low-loss single-mode integrated waveguides in soda-lime glass , 2016, 1606.07020.

[5]  Nicolas Gisin,et al.  Cavity-enhanced storage in an optical spin-wave memory , 2014, 1404.3489.

[6]  Andrei Faraon,et al.  Interfacing broadband photonic qubits to on-chip cavity-protected rare-earth ensembles , 2016, Nature Communications.

[7]  S. N. Andrianov,et al.  A quantum computer on the basis of an atomic quantum transistor with built-in quantum memory , 2016 .

[8]  I. Chuang,et al.  Qudit-Basis Universal Quantum Computation Using χ^{(2)} Interactions. , 2017, Physical review letters.

[9]  Lute Maleki,et al.  Optical resonators with ten million finesse. , 2007, Optics express.

[10]  Christoph Simon,et al.  Temporally multiplexed quantum repeaters with atomic gases , 2010, 1007.5028.

[11]  Chuan Wang,et al.  Universal quantum controlled phase gate on photonic qubits based on nitrogen vacancy centers and microcavity resonators. , 2013, Optics express.

[12]  Edo Waks,et al.  A quantum logic gate between a solid-state quantum bit and a photon , 2013 .

[13]  Feng Chen,et al.  Optical waveguides in crystalline dielectric materials produced by femtosecond‐laser micromachining , 2014 .

[14]  Fu-Guo Deng,et al.  Robust hyperparallel photonic quantum entangling gate with cavity QED. , 2017, Optics express.

[15]  S. A. Moiseev,et al.  Nanophotonic quantum computer based on atomic quantum transistor , 2015 .

[16]  K. Vahala,et al.  Modal coupling in traveling-wave resonators. , 2002, Optics letters.

[17]  J. Schrieffer,et al.  Relation between the Anderson and Kondo Hamiltonians , 1966 .

[18]  R. Osellame,et al.  Laser-written integrated platform for quantum storage of heralded single photons , 2018, Optica.

[19]  Fu-Guo Deng,et al.  Universal quantum gates for hybrid systems assisted by quantum dots inside double-sided optical microcavities , 2013, 1302.0046.

[20]  Kohzo Hakuta,et al.  Cavity quantum electrodynamics on a nanofiber using a composite photonic crystal cavity. , 2014, Physical review letters.

[21]  Q. Ai,et al.  Universal quantum gates for photon-atom hybrid systems assisted by bad cavities , 2015, Scientific Reports.

[22]  Hai-Rui Wei,et al.  Hybrid quantum gates between flying photon and diamond nitrogen-vacancy centers assisted by optical microcavities , 2015, Scientific Reports.

[23]  Roberto Osellame,et al.  An integrated optical memory based on laser written waveguides , 2015, 2016 Conference on Lasers and Electro-Optics (CLEO).

[24]  Shou Zhang,et al.  Universal quantum gates for hybrid system assisted by atomic ensembles embedded in double-sided optical cavities , 2017, Scientific Reports.

[25]  S. Kröll,et al.  Efficient quantum memory using a weakly absorbing sample. , 2013, Physical review letters.

[26]  Bastian Hacker,et al.  A photon–photon quantum gate based on a single atom in an optical resonator , 2016, Nature.

[27]  M. Gorodetsky,et al.  Highly efficient coupling of crystalline microresonators to integrated photonic waveguides. , 2018, Optics letters.

[28]  Fu-Guo Deng,et al.  Scalable photonic quantum computing assisted by quantum-dot spin in double-sided optical microcavity. , 2013, Optics express.

[29]  M. Lukin,et al.  Universal approach to optimal photon storage in atomic media. , 2006, Physical review letters.

[30]  S. Kulik,et al.  Observation and investigation of narrow optical transitions of 167Er3+ ions in femtosecond laser printed waveguides in 7LiYF4 crystal , 2017, 1712.09607.

[31]  Cai,et al.  Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system , 2000, Physical review letters.

[32]  S. Moiseev,et al.  Efficient multimode quantum memory based on photon echo in an optimal QED cavity , 2010, 1004.1370.

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

[34]  K. Koshino,et al.  Deterministic photon-photon (SWAP)^{1/2} gate using a lambda system , 2009, 0909.4762.

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