Multi-parties Controlled Dense Coding via Maximal Slice States and the Physical Realization Using the Optical Elements

An efficient scheme for controlled dense coding is presented with the aid of the introduction of auxiliary particles, appropriate local unitary operations and measurement basis. In this proposal, the four-qubits maximal slice state, which belongs to partially entangled states, is used as quantum channel. The concrete implementation procedures for our scheme with one sender, one receiver and two controllers are given in detail, and the average transmitted classical information from the sender to the receiver is calculated. Additionally, the physical realization of this proposal is discussed based on the optical elements.

[1]  Jie Song,et al.  Deterministic Remote Preparation of Electrons States in Coupled Quantum Dots by Stimulated Raman Adiabatic Passage , 2010 .

[2]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[3]  K. Gao,et al.  Experimental implementation of remote state preparation by nuclear magnetic resonance , 2002, quant-ph/0202004.

[4]  A Sudbery,et al.  Local symmetry properties of pure three-qubit states , 2000 .

[5]  P.-X. Chen,et al.  Probabilistic teleportation of an arbitrary two-particle state by two partial three-particle entangled W states , 2004 .

[6]  Wei Cui,et al.  Optimal decoherence control in non-Markovian open dissipative quantum systems , 2008, 0910.5208.

[7]  Hong-Yi Dai,et al.  Probabilistic teleportation of an arbitrary two-particle state by a partially entangled three-particle GHZ state and W state , 2004 .

[8]  Jie Song,et al.  Re-examining generalized teleportation protocol ☆ , 2007 .

[9]  Ming Zhang,et al.  Two novel schemes for probabilistic remote state preparation and the physical realization via the linear optics , 2016 .

[10]  Daoyi Dong,et al.  Precision limit of atomic magnetometers in the presence of spin-destruction collisions , 2015, Journal of Physics B: Atomic, Molecular and Optical Physics.

[11]  G. Guo,et al.  Remote preparation of mixed states via noisy entanglement (6 pages) , 2005, quant-ph/0503088.

[12]  Tzu-Chieh Wei,et al.  Remote preparation of single-photon "hybrid" entangled and vector-polarization States. , 2010, Physical review letters.

[13]  Bo Qi.  A two-step strategy for stabilizing control of quantum systems with uncertainties , 2013, Autom..

[14]  Jie Song,et al.  Fast and Robust Quantum Information Transfer in Annular and Radial Superconducting Networks , 2017 .

[15]  C. Xie,et al.  Experimental demonstration of tripartite entanglement and controlled dense coding for continuous variables. , 2002, Physical review letters.

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

[17]  Jie Song,et al.  Complete Bell-state analysis for superconducting-quantum-interference-device qubits with a transitionless tracking algorithm , 2017 .

[18]  Yan Xia,et al.  Fast generation of three-atom singlet state by transitionless quantum driving , 2016, Scientific Reports.

[19]  Hong-Yi Dai,et al.  Control of the quantum open system via quantum generalized measurement (5 pages) , 2006 .

[20]  Ming Zhang,et al.  Two efficient schemes for probabilistic remote state preparation and the combination of both schemes , 2014, Quantum Inf. Process..

[21]  G. Guo,et al.  Controlled dense coding using the Greenberger-Horne-Zeilinger state , 2001 .

[22]  Jie Song,et al.  Effective quantum teleportation of an atomic state between two cavities with the cross-Kerr nonlinearity by interference of polarized photons , 2011 .

[23]  Daowen Qiu,et al.  Simultaneous dense coding , 2009, 0909.3613.

[24]  J. Franson,et al.  Demonstration of nondeterministic quantum logic operations using linear optical elements. , 2001, Physical review letters.

[25]  Ping Zhou,et al.  Linear-Optics-Based Bidirectional Controlled Remote State Preparation via Five-Photon Cluster-Type States for Quantum Communication Network , 2016 .

[26]  Kyu-Hwang Yeon,et al.  Optically controlled phase gate and teleportation of a controlled-not gate for spin qubits in a quantum-dot–microcavity coupled system , 2013, 1306.4737.

[27]  Jiahao Zhang,et al.  Quantum network dense coding via continuous-variable graph states , 2014, Quantum Inf. Process..

[28]  Zhang Ming,et al.  Remote preparation of an entangled two-qubit state with three parties , 2008 .

[29]  Changde Xie,et al.  Controlled dense coding for continuous variables using three-particle entangled states , 2002 .

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

[31]  Qi‐Cheng Wu,et al.  Fast generation of W states of superconducting qubits with multiple Schrödinger dynamics , 2016, Scientific Reports.

[32]  Jian-Wei Pan,et al.  Realization of a photonic controlled-NOT gate sufficient for quantum computation. , 2004, Physical Review Letters.

[33]  Shi Hu,et al.  Scheme for implementing multitarget qubit controlled-NOT gate of photons and controlled-phase gate of electron spins via quantum dot-microcavity coupled system , 2016, Quantum Inf. Process..

[34]  Kyu-Hwang Yeon,et al.  Deterministic CNOT gate and entanglement swapping for photonic qubits using a quantum-dot spin in a double-sided optical microcavity , 2013, 1309.0410.

[35]  G. Long,et al.  Experimental realization of a fetching algorithm in a 7-qubit NMR spin Liouville space computer , 2002, quant-ph/0207079.

[36]  Yan Xia,et al.  Fast preparation of W states with superconducting quantum interference devices by using dressed states , 2016, 1610.07751.

[37]  Jun Liu,et al.  Controlled Dense Coding Using the Maximal Slice States , 2016 .

[38]  Chun Wang,et al.  Controlled remote state preparation via partially entangled quantum channel , 2014, Quantum Information Processing.

[39]  Zairong Xi,et al.  Combating dephasing decoherence by periodically performing tracking control and projective measurement , 2007 .

[40]  Xian-ping Wang,et al.  Controlled dense coding using a five-atom cluster state in cavity QED , 2013, Quantum Inf. Process..

[41]  W. Munro,et al.  A near deterministic linear optical CNOT gate , 2004 .

[42]  郑小娟,et al.  A simple scheme for implementing four-atom quantum dense coding in cavity QED , 2010 .

[43]  Jie Song,et al.  Classical Communication Cost and Remote Preparation of the Two-Atom Maximally Entangled State , 2008 .

[44]  Haozhen Situ,et al.  Controlled Simultaneous Teleportation and Dense Coding , 2014 .

[45]  Bo Qi,et al.  Further Results on Stabilizing Control of Quantum Systems , 2013, IEEE Transactions on Automatic Control.

[46]  Wei Cui,et al.  Optimal dynamical decoupling sequence for the Ohmic spectrum , 2010, 1001.2960.

[47]  Yi-You Nie,et al.  Controlled Dense Coding between Multi-Parties , 2009 .

[48]  Xiao-Wei Liu.  Controlled Dense Coding with Non-Symmetric Quantum State , 2015 .

[49]  Xiubo Chen,et al.  Experimental architecture of joint remote state preparation , 2011, Quantum Information Processing.

[50]  Zhang Ming,et al.  Probabilistic Remote Preparation of a Four-Particle Entangled W State for the General Case and for All Kinds of the Special Cases ∗ , 2013 .

[51]  Hong-Yi Dai,et al.  Classical communication cost and remote preparation of the four-particle GHZ class state , 2006 .

[52]  Liu Ye,et al.  Scheme for implementing quantum dense coding using tripartite entanglement in cavity QED , 2005 .

[53]  Jie Song,et al.  Fast generating Greenberger–Horne–Zeilinger state via iterative interaction pictures , 2016 .

[54]  Yan Xia,et al.  Shortcuts to adiabatic passage for multiparticles in distant cavities: applications to fast and noise-resistant quantum population transfer, entangled states’ preparation and transition , 2014, 1405.7779.

[55]  Zhao-Hui Peng,et al.  Scheme for implementing controlled teleportation and dense coding with genuine pentaqubit entangled state in cavity QED , 2009 .

[56]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[57]  Haozhen Situ,et al.  Dense Coding Process with Imperfect Encoding Operations , 2013 .

[58]  T. Gao,et al.  Optimal controlled teleportation , 2007, 0710.1055.

[59]  Mei Zhang,et al.  Compact quantum gates for hybrid photon–atom systems assisted by Faraday rotation , 2017, Quantum Inf. Process..

[60]  Weinfurter,et al.  Dense coding in experimental quantum communication. , 1996, Physical review letters.