Quantum information processing and metrology with color centers in diamonds

Abstract

The Nitrogen–Vacancy (NV) center is becoming a promising qubit for quantum information processing. The defect has a long coherence time at room temperature and it allows spin state initialized and read out by laser and manipulated by microwave pulses. It has been utilized as a ultra sensitive probe for magnetic fields and remote spins as well. Here, we review the recent progresses in experimental demonstrations based on NV centers. We first introduce our work on implementation of the Deutsch–Jozsa algorithm with a single electronic spin in diamond. Then the quantum nature of the bath around the center spin is revealed and continuous wave dynamical decoupling has been demonstrated. By applying dynamical decoupling, a multi-pass quantum metrology protocol is realized to enhance phase estimation. In the final, we demonstrated NV center can be regarded as a ultra-sensitive sensor spin to implement nuclear magnetic resonance (NMR) imaging at nanoscale.

Graphical abstract

Keywords

quantum information processing and metrology / Nitrogen–Vacancy center / phase estimation / dynamical decoupling / single spin detection

References

[1] J. R. Petta, A. C. Johnson, J. M. Taylor, E. A. Laird, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Coherent manipulation of coupled electron spins in semiconductor quantum dots, Science, 2005, 309(5744): 2180

[2] B. E. Kane, A silicon-based nuclear spin quantum computer, Nature, 1998, 393(6681): 133

[3] J. Wrachtrup and F. Jelezko, Processing quantum information in diamond, J. Phys.: Condens. Matter, 2006, 18(21): S807

[4] J. R. Weber, W. F. Koehl, J. B. Varley, A. Janotti, B. B. Buckley, C. G. Van de Walle, and D. D. Awschalom, Quantum computing with defects, Proc. Natl. Acad. Sci. USA, 2010, 107(19): 8513

[5] V. Giovannetti, S. Lloyd, and L. Maccone, Quantum metrology, Phys. Rev. Lett., 2006, 96(1): 010401

[6] F. Jelezko, T. Gaebel, I. Popa, M. Domhan, A. Gruber, and J. Wrachtrup, Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate, Phys. Rev. Lett., 2004, 93(13): 130501

[7] F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, Observation of coherent oscillations in a single electron spin, Phys. Rev. Lett., 2004, 92(7): 076401

[8] P. Neumann, N. Mizuochi, F. Rempp, P. Hemmer, H. Watanabe, S. Yamasaki, V. Jacques, T. Gaebel, F. Jelezko, and J. Wrachtrup, Multipartite entanglement among single spins in diamond, Science, 2008, 320(5881): 1326

[9] F. Dolde, I. Jakobi, B. Naydenov, N. Zhao, S. Pezzagna, C. Trautmann, J. Meijer, P. Neumann, F. Jelezko, and J. Wrachtrup, Room-temperature entanglement between single defect spins in diamond, Nat. Phys., 2013, 9(3): 139

[10] G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, Ultralong spin coherence time in isotopically engineered diamond, Nat. Mater., 2009, 8(5): 383

[11] G. Fuchs, G. Burkard, P. Klimov, and D. Awschalom, A quantum memory intrinsic to single nitrogen–vacancy centres in diamond, Nat. Phys., 2011, 7(10): 789

[12] P. Neumann, J. Beck, M. Steiner, F. Rempp, H. Fedder, P. R. Hemmer, J. Wrachtrup, and F. Jelezko, Single-shot readout of a single nuclear spin, Science, 2010, 329(5991): 542

[13] B. B. Buckley, G. D. Fuchs, L. C. Bassett, and D. D. Awschalom, Spin-light coherence for single-spin measurement and control in diamond, Science, 2010, 330(6008): 1212

[14] L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. Alkemade, and R. Hanson, High-fidelity projective read-out of a solid-state spin quantum register, Nature, 2011, 477(7366): 574

[15] F. Shi, X. Rong, N. Xu, Y.Wang, J. Wu, B. Chong, X. Peng, J. Kniepert, R. S. Schoenfeld, W. Harneit, M. Feng, and J. Du, Room-temperature implementation of the Deutsch–Jozsa algorithm with a single electronic spin in diamond, Phys. Rev. Lett., 2010, 105(4): 040504

[16] T. van der Sar, Z. H. Wang, M. S. Blok, H. Bernien, T. H. Taminiau, D. M. Toyli, D. A. Lidar, D. D. Awschalom, R. Hanson, and V. V. Dobrovitski, Decoherence-protected quantum gates for a hybrid solid-state spin register, Nature, 2012, 484(7392): 82

[17] T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, Room-temperature coherent coupling of single spins in diamond, Nat. Phys., 2006, 2(6): 408

[18] E. Togan, Y. Chu, A. S. Trifonov, L. Jiang, J. Maze, L. Childress, M. V. G. Dutt, A. S. Sorensen, P. R. Hemmer, A. S. Zibrov, and M. D. Lukin, Quantum entanglement between an optical photon and a solid-state spin qubit, Nature, 2010, 466(7307): 730

[19] H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, Heralded entanglement between solid-state qubits separated by three metres, Nature, 2013, 497(7447): 86

[20] M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, Quantum register based on individual electronic and nuclear spin qubits in diamond, Science, 2007, 316(5829): 1312

[21] P. Neumann, R. Kolesov, B. Naydenov, J. Beck, F. Rempp, M. Steiner, V. Jacques, G. Balasubramanian, M. L. Markham, D. J. Twitchen, S. Pezzagna, J. Meijer, J. Twamley, F. Jelezko, and J. Wrachtrup, Quantum register based on coupled electron spins in a room-temperature solid, Nat. Phys., 2010, 6(4): 249

[22] X. Zhu, S. Saito, A. Kemp, K. Kakuyanagi, S. i. Karimoto, H. Nakano, W. J. Munro, Y. Tokura, M. S. Everitt, K. Nemoto, M. Kasu, N. Mizuochi, and K. Semba, Coherent coupling of a superconducting flux qubit to an electron spin ensemble in diamond, Nature, 2011, 478(7368): 221

[23] Y. Kubo, C. Grezes, A. Dewes, T. Umeda, J. Isoya, H. Sumiya, N. Morishita, H. Abe, S. Onoda, T. Ohshima, V. Jacques, A. Dréau, J.-F. Roch, I. Diniz, A. Auffeves, D. Vion, D. Esteve, and P. Bertet, Hybrid quantum circuit with a superconducting qubit coupled to a spin ensemble, Phys. Rev. Lett., 2011, 107: 220501

[24] P. Rabl, P. Cappellaro, M. V. G. Dutt, L. Jiang, J. R. Maze, and M. D. Lukin, Strong magnetic coupling between an electronic spin qubit and a mechanical resonator, Phys. Rev. B, 2009, 79(4): 041302

[25] S. Kolkowitz, A. C. Bleszynski Jayich, Q. P. Unterreithmeier, S. D. Bennett, P. Rabl, J. G. E. Harris, and M. D. Lukin, Coherent sensing of a mechanical resonator with a single-spin qubit, Science, 2012, 335(6076): 1603

[26] J. M. Taylor, P. Cappellaro, L. Childress, L. Jiang, D. Budker, P. R. Hemmer, A. Yacoby, R. Walsworth, and M. D. Lukin, High-sensitivity diamond magnetometer with nanoscale resolution, Nat. Phys., 2008, 4(10): 810

[27] G. Balasubramanian, I. Y. Chan, R. Kolesov, M. AlHmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krueger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, Nanoscale imaging magnetometry with diamond spins under ambient conditions, Nature, 2008, 455(7213): 648

[28] J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. G. Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, Nanoscale magnetic sensing with an individual electronic spin in diamond, Nature, 2008, 455(7213): 644

[29] F. Dolde, H. Fedder, M. W. Doherty, T. Nobauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, and J. Wrachtrup, Electric-field sensing using single diamond spins, Nat. Phys., 2011, 7(6): 459

[30] D. M. Toyli, C. F. de las Casas, D. J. Christle, V. V. Dobrovitski, and D. D. Awschalom, Fluorescence thermometry enhanced by the quantum coherence of single spins in diamond, Proc. Natl. Acad. Sci. USA, 2013, 110(21): 8417

[31] G. Waldherr, P. Neumann, S. F. Huelga, F. Jelezko, and J. Wrachtrup, Violation of a temporal bell inequality for single spins in a diamond defect center, Phys. Rev. Lett., 2011, 107(9): 090401

[32] R. E. George, L. M. Robledo, O. J. E. Maroney, M. S. Blok, H. Bernien, M. L. Markham, D. J. Twitchen, J. J. L. Morton, G. A. D. Briggs, and R. Hanson, Opening up three quantum boxes causes classically undetectable wavefunction collapse, Proc. Natl. Acad. Sci. USA, 2013, 110(10): 3777

[33] A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J. P. Poizat, and P. Grangier, Single photon quantum cryptography, Phys. Rev. Lett., 2002, 89(18): 187901

[34] R. Kolesov, B. Grotz, G. Balasubramanian, R. J. Stohr, A. A. L. Nicolet, P. R. Hemmer, F. Jelezko, and J. Wrachtrup, Wave–particle duality of single surface plasmon polaritons, Nat. Phys., 2009, 5(7): 470

[35] S. W. Hell, Far-field optical nanoscopy, Science, 2007, 316(5828): 1153

[36] S. W. Hell and M. Kroug, Ground-state-depletion fluorscence microscopy: A concept for breaking the diffraction resolution limit, Appl. Phys. B, 1995, 60(5): 495

[37] P. Maurer, J. Maze, P. Stanwix, L. Jiang, A. Gorshkov, A. A. Zibrov, B. Harke, J. Hodges, A. S. Zibrov, A. Yacoby, D. Twitchen, S. W. Hell, R. L. Walsworth, and M. D. Lukin, Far-field optical imaging and manipulation of individual spins with nanoscale resolution, Nat. Phys., 2010, 6(11): 912

[38] E. Rittweger, K. Y. Han, S. E. Irvine, C. Eggeling, and S. W. Hell, STED microscopy reveals crystal colour centres with nanometric resolution, Nat. Photonics, 2009, 3(3): 144

[39] J. Harrison, M. J. Sellars, and N. B. Manson, Optical spin polarisation of the N-V centre in diamond, J. Lumin., 2004, 107(1-4): 245

[40] N. B. Manson, J. P. Harrison, and M. J. Sellars, Nitrogenvacancy center in diamond: Model of the electronic structure and associated dynamics, Phys. Rev. B, 2006, 74: 104303

[41] R. Hanson, O. Gywat, and D. D. Awschalom, Roomtemperature manipulation and decoherence of a single spin in diamond, Phys. Rev. B, 2006, 74(16): 161203

[42] R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, and D. D. Awschalom, Coherent dynamics of a single spin interacting with an adjustable spin bath, Science, 2008, 320(5874): 352

[43] L. Childress, M. V. Gurudev Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, Coherent dynamics of coupled electron and nuclear spin qubits in diamond, Science, 2006, 314(5797): 281

[44] G. de Lange, T. van der Sar, M. S. Blok, Z. H. Wang, V. V. Dobrovitski, and R. Hanson, Controlling the quantum dynamics of a mesoscopic spin bath in diamond, arXiv: 1104.4648v1<?Pub Caret?>, 2011

[45] F. Neugart, A. Zappe, F. Jelezko, C. Tietz, J. P. Boudou, A. Krueger, and J. Wrachtrup, Dynamics of diamond nanoparticles in solution and cells, Nano Lett., 2007, 7(12): 3588

[46] C. C. Fu, H. Y. Lee, K. Chen, T. S. Lim, H. Y. Wu, P. K. Lin, P. K. Wei, P. H. Tsao, H. C. Chang, and W. Fann, Characterization and application of single fluorescent nanodiamonds as cellular biomarkers., Proc. Natl. Acad. Sci. USA, 2007, 104(3): 727

[47] D. Deutsch and R. Jozsa, Rapid solution of problems by quantum computation, Proc. R. Soc. Lond. A, 1992, 439(1907): 553

[48] R. de Sousa and S. Das Sarma, Theory of nuclear induced spectral diffusion: Spin decoherence of phosphorus donors in Si and GaAs quantum dots, Phys. Rev. B, 2003, 68: 115322

[49] W. M. Witzel, R. de Sousa, and S. Das Sarma, Quantum theory of spectral diffusion induced electron spin decoherence, Phys. Rev. B, 2005, 72: 161306(R)

[50] W. Yao, R.B. Liu, and L. J. Sham, Theory of electron spin decoherence by interacting nuclear spins in a quantum dot, Phys. Rev. B, 2006, 74 (19): 195301

[51] S. K. Saikin, W. Yao, and L. J. Sham, Single-electron spin decoherence by nuclear spin bath: Linked-cluster expansion approach, Phys. Rev. B, 2007, 75: 125314

[52] P. W. Anderson, A mathematical model for the narrowing of spectral lines by exchange or motion, J. Phys. Soc. Jpn., 1954, 9(3): 316

[53] R. Kubo, Note on the stochastic theory of resonance absorption, J. Phys. Soc. Jpn., 1954, 9(6): 935

[54] P. R. Berman and R. G. Brewer, Modified optical Bloch equations for solids, Phys. Rev. A, 1985, 32(5): 2784

[55] R. F. Loring and S. Mukamel, Unified theory of photon echoes: The passage from inhomogeneous to homogeneous line broadening, Chem. Phys. Lett., 1985, 114(4): 426

[56] N. Zhao, Z. Y. Wang, and R. B. Liu, Anomalous decoherence effect in a quantum bath, Phys. Rev. Lett., 2011, 106 (21): 217205

[57] P. Huang, X. Kong, N. Zhao, F. Z. Shi, P. F.Wang, X. Rong, R. B. Liu, and J. F. Du, Observation of an anomalous decoherence effect in a quantum bath at room temperature, Nature Communications, 2011, 2: 570

[58] G. de Lange, Z. H. Wang, D. Riste, V. V. Dobrovitski, and R. Hanson, Universal dynamical decoupling of a single solidstate spin from a spin bath, Science, 2010, 330 (6000): 60

[59] F. Reinhard, F. Z. Shi, N. Zhao, F. Rempp, B. Naydenov, J. Meijer, L. T. Hall, L. Hollenberg, J. F. Du, R. B. Liu, and J. Wrachtrup, Tuning a spin bath through the quantumclassical transition, Phys. Rev. Lett., 2012, 108(20): 200402

[60] W. H. Zurek, Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse? Phys. Rev. D, 1981, 24(6): 1516

[61] H. Bluhm, S. Foletti, I. Neder, M. Rudner, D. Mahalu, V. Umansky, and A. Yacoby, Dephasing time of GaAs electronspin qubits coupled to a nuclear bath exceeding 200 μs, Nat. Phys., 2011, 7(2): 109

[62] X. K. Xu, Z. X. Wang, C. K. Duan, P. Huang, P. F. Wang, Y. Wang, N. Y. Xu, X. Kong, F. Z. Shi, X. Rong, and J. F. Du, Coherence-protected quantum gate by continuous dynamical decoupling in diamond, Phys. Rev. Lett., 2012, 109: 070502

[63] N. Timoney, I. Baumgart, M. Johanning, A. F. Varon, M. B. Plenio, A. Retzker, and C. Wunderlich, Quantum gates and memory using microwave-dressed states, Nature, 2011, 476(7359): 185

[64] J. M. Cai, B. Naydenov, R. Pfeiffer, L. P. McGuinness, K. D. Jahnke, F. Jelezko, M. B. Plenio, and A. Retzker, Robust dynamical decoupling with concatenated continuous driving, New J. Phys., 2012, 14(11): 113023

[65] J. Du, X. Rong, N. Zhao, Y. Wang, J. Yang, and R. B. Liu, Preserving electron spin coherence in solids by optimal dynamical decoupling, Nature, 2009, 461(7268): 1265

[66] J. A. Jones, S. D. Karlen, J. Fitzsimons, A. Ardavan, S. C. Benjamin, G. A. D. Briggs, and J. J. L. Morton, Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states, Science, 2009, 324(5931): 1166

[67] D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, R. Reichle, and D. J. Wineland, Creation of a six-atom ‘Schrödinger cat’ state, Nature, 2005, 438(7068): 639

[68] T. Nagata, R. Okamoto, J. L. O’Brien, K. Sasaki, and S. Takeuchi, Beating the standard quantum limit with fourentangled photons, Science, 2007, 316(5825): 726

[69] C. Gross, T. Zibold, E. Nicklas, J. Estve, and M. K. Oberthaler, Nonlinear atom interferometer surpasses classical precision limit, Nature, 2010, 464(7292): 1165

[70] G. Y. Xiang, B. L. Higgins, D. W. Berry, H. M. Wiseman, and G. J. Pryde, Entanglement-enhanced measurement of a completely unknown optical phase, Nat. Photonics, 2011, 5(1): 43

[71] B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, Entanglement-free Heisenberg-limited phase estimation, Nature, 2007, 450(7168): 393

[72] X. Rong, P. Huang, X. Kong, X. Xu, F. Shi, Y. Wang, and J. Du, Enhanced phase estimation by implementing dynamical decoupling in a multi-pass quantum metrology protocol, Europhys. Lett., 2011, 95(6): 60005

[73] F. Z. Shi, Q. Zhang, B. Naydenov, F. Jelezko, J. F. Du, F. Reinhard, and J. Wrachtrup, Quantum logic readout and cooling of a single dark electron spin, Phys. Rev. B, 2013, 87: 195414

[74] T. Staudacher, F. Shi, S. Pezzagna, J. Meijer, J. Du, C. A. Meriles, F. Reinhard, and J. Wrachtrup, Nuclear magnetic resonance spectroscopy on a (5-nanometer) 3 sample volume, Science, 2013, 339(6119): 561

[75] C. Degen, M. Poggio, H. Mamin, C. Rettner, and D. Rugar, Nanoscale magnetic resonance imaging, Proc. Natl. Acad. Sci. USA, 2009, 106(5): 1313

[76] W. F. Koehl, B. B. Buckley, F. J. Heremans, G. Calusine, and D. D. Awschalom, Room temperature coherent control of defect spin qubits in silicon carbide, Nature, 2011, 479(7371): 84

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