Abstract

Large-scale quantum technologies require exquisite control over many individual quantum systems. Typically, such systems are very sensitive to environmental fluctuations, and diagnosing errors via measurements causes unavoidable perturbations. In this work, we present an in situ frequency-locking technique that monitors and corrects frequency variations in single photon sources based on microring resonators. By using the same classical laser fields required for photon generation as probes to diagnose variations in the resonator frequency, our protocol applies feedback control to correct photon frequency errors in parallel to the optical quantum computation without disturbing the physical qubit. We implement our technique on a silicon photonic device and demonstrate sub 1 pm frequency stabilization in the presence of applied environmental noise, corresponding to a fractional frequency drift of <1% of a photon linewidth. Using these methods, we demonstrate feedback-controlled quantum state engineering. By distributing a single local oscillator across a single chip or network of chips, our approach enables frequency locking of many single photon sources for large-scale photonic quantum technologies.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2018 (7)

J. Wang, S. Paesani, Y. Ding, R. Santagati, P. Skrzypczyk, A. Salavrakos, J. Tura, R. Augusiak, L. Mančinska, D. Bacco, D. Bonneau, J. W. Silverstone, Q. Gong, A. Acn, K. Rottwitt, and L. K. Oxenløwe, J. L. O’Brien, A. Laing, and M. G. Thompson, “Multidimensional quantum entanglement with large-scale integrated optics,” Science 360, 285–291 (2018).
[Crossref]

J. Wang, S. Paesani, Y. Ding, R. Santagati, P. Skrzypczyk, A. Salavrakos, J. Tura, R. Augusiak, L. Mančinska, D. Bacco, D. Bonneau, J. W. Silverstone, Q. Gong, A. Acn, K. Rottwitt, and L. K. Oxenløwe, J. L. O’Brien, A. Laing, and M. G. Thompson, “Multidimensional quantum entanglement with large-scale integrated optics,” Science 360, 285–291 (2018).
[Crossref]

C. Sparrow, E. Martn López, N. Maraviglia, A. Neville, C. Harrold, J. Carolan, Y. N. Joglekar, T. Hashimoto, N. Matsuda, J. L. O’Brien, D. P. Tew, and A. Laing, “Simulating the vibrational quantum dynamics of molecules using photonics,” Nature 557, 660–667 (2018).
[Crossref]

D. Zhu, Q.-Y. Zhao, H. Choi, T.-J. Lu, A. E. Dane, D. Englund, and K. K. Berggren, “A scalable multi-photon coincidence detector based on superconducting nanowires,” Nat. Nanotechnol. 13, 596–601 (2018).
[Crossref]

M. Heuck, M. Pant, and D. R. Englund, “Temporally and spectrally multiplexed single photon source using quantum feedback control for scalable photonic quantum technologies,” New J. Phys. 20, 063046 (2018).
[Crossref]

A. H. Atabaki, S. Moazeni, F. Pavanello, H. Gevorgyan, J. Notaros, L. Alloatti, M. T. Wade, C. Sun, S. A. Kruger, H. Meng, K. Al Qubaisi, I. Wang, B. Zhang, A. Khilo, C. V. Baiocco, M. A. Popović, V. M. Stojanović, and R. J. Ram, “Integrating photonics with silicon nanoelectronics for the next generation of systems on a chip,” Nature 556, 349–354 (2018).
[Crossref]

Y. Zou, S. Chakravarty, C.-J. Chung, X. Xu, and R. T. Chen, “Mid-infrared silicon photonic waveguides and devices [Invited],” Photon. Res. 6, 254–276 (2018).
[Crossref]

N. C. Harris, J. Carolan, D. Bunandar, M. Prabhu, M. Hochberg, T. Baehr-Jones, M. L. Fanto, A. M. Smith, C. C. Tison, P. M. Alsing, and D. Englund, “Linear programmable nanophotonic processors,” Optica 5, 1623–1631 (2018).
[Crossref]

2017 (7)

M. Piekarek, D. Bonneau, S. Miki, T. Yamashita, M. Fujiwara, M. Sasaki, H. Terai, M. G. Tanner, C. M. Natarajan, R. H. Hadfield, J. L. O’Brien, and M. G. Thompson, “High-extinction ratio integrated photonic filters for silicon quantum photonics,” Opt. Lett. 42, 815–818 (2017).
[Crossref]

Z. Vernon, M. Menotti, C. C. Tison, J. A. Steidle, M. L. Fanto, P. M. Thomas, S. F. Preble, A. M. Smith, P. M. Alsing, M. Liscidini, and J. E. Sipe, “Truly unentangled photon pairs without spectral filtering,” Opt. Lett. 42, 3638–3641 (2017).
[Crossref]

H. Lin, Z. Luo, T. Gu, L. C. Kimerling, K. Wada, A. Agarwal, and J. Hu, “Mid-infrared integrated photonics on silicon: a perspective,” Nanophotonics 7, 85 (2017).
[Crossref]

M. Pant, H. Krovi, D. Englund, and S. Guha, “Rate-distance tradeoff and resource costs for all-optical quantum repeaters,” Phys. Rev. A 95, 012304 (2017).
[Crossref]

A. Neville, C. Sparrow, R. Clifford, E. Johnston, P. M. Birchall, A. Montanaro, and A. Laing, “Classical boson sampling algorithms with superior performance to near-term experiments,” Nat. Phys. 13, 1153–1157 (2017).
[Crossref]

N. C. Harris, G. R. Steinbrecher, M. Prabhu, Y. Lahini, J. Mower, D. Bunandar, C. Chen, F. N. C. Wong, T. Baehr-Jones, M. Hochberg, S. Lloyd, and D. Englund, “Quantum transport simulations in a programmable nanophotonic processor,” Nat. Photonics 11, 447–452 (2017).
[Crossref]

T. Rudolph, “Why I am optimistic about the silicon-photonic route to quantum computing,” APL Photon. 2, 030901 (2017).
[Crossref]

2016 (5)

J. W. Silverstone, D. Bonneau, J. L. O’Brien, and M. G. Thompson, “Silicon quantum photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 390–402 (2016).
[Crossref]

Z. Wang, H. Liu, Q. Sun, N. Huang, S. Li, and J. Han, “The influence of thermal and free carrier dispersion effects on all-optical wavelength conversion in a silicon racetrack-shaped microring resonator,” Laser Phys. 26, 075403 (2016).
[Crossref]

L. Carroll, J.-S. Lee, C. Scarcella, K. Gradkowski, M. Duperron, H. Lu, Y. Zhao, C. Eason, P. Morrissey, M. Rensing, S. Collins, H. Hwang, and P. O’Brien, “Photonic packaging: transforming silicon photonic integrated circuits into photonic devices,” Appl. Sci. 6, 426 (2016).
[Crossref]

D. Grassani, A. Simbula, S. Pirotta, M. Galli, M. Menotti, N. C. Harris, T. Baehr-Jones, M. Hochberg, C. Galland, M. Liscidini, and D. Bajoni, “Energy correlations of photon pairs generated by a silicon microring resonator probed by stimulated four wave mixing,” Sci. Rep. 6, 23564 (2016).
[Crossref]

T. J. Seok, N. Quack, S. Han, R. S. Muller, and M. C. Wu, “Large-scale broadband digital silicon photonic switches with vertical adiabatic couplers,” Optica 3, 64–67 (2016).
[Crossref]

2015 (8)

E. Schelew, M. K. Akhlaghi, and J. F. Young, “Waveguide integrated superconducting single-photon detectors implemented as near-perfect absorbers of coherent radiation,” Nat. Commun. 6, 8233 (2015).
[Crossref]

J. Huh, G. G. Guerreschi, B. Peropadre, J. R. McClean, and A. Aspuru-Guzik, “Boson sampling for molecular vibronic spectra,” Nat. Photonics 9, 615–620 (2015).
[Crossref]

C. Ferrie and O. Moussa, “Robust and efficient in situ quantum control,” Phys. Rev. A 91, 052306 (2015).
[Crossref]

Z. Zhou, B. Yin, and J. Michel, “On-chip light sources for silicon photonics,” Light Sci. Appl. 4, e358 (2015).
[Crossref]

M. Gimeno-Segovia, P. Shadbolt, D. E. Browne, and T. Rudolph, “From three-photon Greenberger-Horne-Zeilinger states to ballistic universal quantum computation,” Phys. Rev. Lett. 115, 020502 (2015).
[Crossref]

C. Sun, M. T. Wade, Y. Lee, J. S. Orcutt, L. Alloatti, M. S. Georgas, A. S. Waterman, J. M. Shainline, R. R. Avizienis, S. Lin, B. R. Moss, R. Kumar, F. Pavanello, A. H. Atabaki, H. M. Cook, A. J. Ou, J. C. Leu, Y.-H. Chen, K. Asanović, R. J. Ram, M. A. Popović, and V. M. Stojanović, “Single-chip microprocessor that communicates directly using light,” Nature 528, 534–538 (2015).
[Crossref]

J. Carolan, C. Harrold, C. Sparrow, E. Martn López, N. J. Russell, J. W. Silverstone, P. J. Shadbolt, N. Matsuda, M. Oguma, M. Itoh, G. D. Marshall, M. G. Thompson, J. C. F. Matthews, T. Hashimoto, J. L. O’Brien, and A. Laing, “Universal linear optics,” Science 349, 711–716 (2015).
[Crossref]

F. Najafi, J. Mower, N. C. Harris, F. Bellei, A. Dane, C. Lee, X. Hu, P. Kharel, F. Marsili, S. Assefa, K. K. Berggren, and D. Englund, “On-chip detection of non-classical light by scalable integration of single-photon detectors,” Nat. Commun. 6, 5873 (2015).
[Crossref]

2014 (5)

J. W. Silverstone, D. Bonneau, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, C. M. Natarajan, M. G. Tanner, R. H. Hadfield, V. Zwiller, G. D. Marshall, J. G. Rarity, J. L. O’Brien, and M. G. Thompson, “On-chip quantum interference between silicon photon-pair sources,” Nat. Photonics 8, 104–108 (2014).
[Crossref]

N. C. Harris, D. Grassani, A. Simbula, M. Pant, M. Galli, T. Baehr-Jones, M. Hochberg, D. Englund, D. Bajoni, and C. Galland, “Integrated source of spectrally filtered correlated photons for large-scale quantum photonic systems,” Phys. Rev. X 4, 041047 (2014).
[Crossref]

V. S. Shchesnovich, “Sufficient condition for the mode mismatch of single photons for scalability of the boson-sampling computer,” Phys. Rev. A 89, 022333 (2014).
[Crossref]

K. Padmaraju, D. F. Logan, T. Shiraishi, J. J. Ackert, A. P. Knights, and K. Bergman, “Wavelength locking and thermally stabilizing microring resonators using dithering signals,” J. Lightwave Technol. 32, 505–512 (2014).
[Crossref]

N. C. Harris, Y. Ma, J. Mower, T. Baehr-Jones, D. Englund, M. Hochberg, and C. Galland, “Efficient, compact and low loss thermo-optic phase shifter in silicon,” Opt. Express 22, 10487 (2014).
[Crossref]

2013 (3)

2012 (4)

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, “Silicon microring resonators,” Laser Photon. Rev. 6, 47–73 (2012).
[Crossref]

P. P. Rohde and T. C. Ralph, “Error tolerance of the boson-sampling model for linear optics quantum computing,” Phys. Rev. A 85, 022332 (2012).
[Crossref]

A. Aspuru-Guzik and P. Walther, “Photonic quantum simulators,” Nat. Phys. 8, 285–291 (2012).
[Crossref]

L. G. Helt, M. Liscidini, and J. E. Sipe, “How does it scale? Comparing quantum and classical nonlinear optical processes in integrated devices,” J. Opt. Soc. Am. B 29, 2199–2212 (2012).
[Crossref]

2011 (1)

2010 (1)

J. Michel, J. Liu, and L. C. Kimerling, “High-performance Ge-on-Si photodetectors,” Nat. Photonics 4, 527–534 (2010).
[Crossref]

2009 (1)

J. L. O’Brien, A. Furusawa, and J. Vučković, “Photonic quantum technologies,” Nat. Photonics 3, 687–695 (2009).
[Crossref]

2007 (1)

J. L. O’Brien, “Optical quantum computing,” Science 318, 1567–1570 (2007).
[Crossref]

2000 (1)

H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, “Whither the future of controlling quantum phenomena?” Science 288, 824–828 (2000).
[Crossref]

1997 (1)

1992 (1)

R. S. Judson and H. Rabitz, “Teaching lasers to control molecules,” Phys. Rev. Lett. 68, 1500–1503 (1992).
[Crossref]

1965 (1)

J. A. Nelder and R. Mead, “A simplex method for function minimization,” Comput. J. 7, 308–313 (1965).
[Crossref]

Aaronson, S.

S. Aaronson and A. Arkhipov, “The computational complexity of linear optics,” in 43rd Annual ACM Symposium on Theory of Computing (ACM, 2011), pp. 333–342.

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Phys. Rev. X (1)

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Sci. Rep. (2)

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Other (1)

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Supplementary Material (1)

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Figures (4)

Fig. 1.
Fig. 1. Proposed architecture for in situ photon source stabilization. (a) A pump field is coupled into a Kerr-based resonator structure, which produces correlated photons via spontaneous four-wave mixing. The pump field is monitored via a photodiode, which is fed back onto the resonator to stabilize the central frequency. By distributing a single pump (local oscillator, LO) across an entire chip, many thousands of resonators can be frequency locked in parallel to enable large-scale quantum information processing (QIP). (b) Transmission spectrum of a single microring resonator. Pump lasers are tuned to the i1th and i+1th resonance of the ring to generate two single photons at the ith resonance. (c) The photodiode measures an initial optical power (1); if the resonance of the MRR shifts due to, say, thermal fluctuations, the power in the pump modes increases (2), which is then corrected via a closed-loop feedback on the ring phase shifter (3).
Fig. 2.
Fig. 2. Quantum state engineering photonic device. (a) Optical micrograph of the silicon photonic device that incorporates five thermo-optically controlled phases shifters and four microring resonators (two for photon generation and two for pump suppression) in just 0.08mm2. Marked components represent the five stages required for quantum state engineering: (1) pump mixing on a directional coupler, (2) photon generation in two MRRs, (3) partial pump suppression in two further MRRs, (4) differential phase shift, and (5) final directional coupler for quantum interference. (b) Optical spectrograph of the two generation rings aligned to 1565 nm alongside expected fit.
Fig. 3.
Fig. 3. Static and dynamic feedback correction. (a) Mean of 62 instances of static frequency feedback correction, with initial guess voltages for each run randomly and independently chosen (see text). The shaded region represents ±1σ. With the pump laser set to the desired alignment frequency of λ0=1565nm, the voltage on each generation MRR is optimized to minimize the sum of the optical power in two output modes. (b) Mean change in voltages for each generation MRR during all 62 alignment protocols. Solution voltages vary not only between MRRs (a static offset due to fabrication variations) but also over the course of the experiment due to a systematic change in laboratory conditions. (c) Spectrograph of the MRRs as a function of applied thermal noise (inset) over the course of 1 h in the absence of dynamic stabilization. Spectrographs are taken by tuning an auxiliary laser and measuring the output power on a photodiode. Given the same applied noise model, the bottom plot shows the variation in central resonance when dynamic frequency stabilization is applied. Error bars are given by the error in the resonance fit. (d) Spectrograph of the MRRs as a voltage is applied to an adjacent thermo-optic phase shifter. Thermal crosstalk causes the resonance of the MRRs to shift, which should otherwise remain untouched by the phase shifter. The bottom plot shows the variation when dynamic frequency stabilization is applied. In each instance, the dynamic stabilization gives a two orders of magnitude increase in the resonance stability.
Fig. 4.
Fig. 4. Quantum state engineering. (a) Coincidence count rate plotted as a function of the square of the differential phase voltage, with (blue) and without (red) frequency stabilization, alongside a sinusoidal fit (light blue). Coincidences have been normalized for detector channel inefficiencies, and error bars assume Poissonian counting statistics. The symmetry in the locked fringe can clearly be observed in comparison to the unlocked. (b) Variation in MRR control voltages over the course of the differential phase sweep when frequency locking is applied. (c) Coincidence count rate plotted as a function of input power per ring (blue points) and an expected quadratic dependency based on a purely four-wave mixing process (light blue line).

Equations (1)

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|ψ(ϕ)out=cosϕ(|20|02)/2+sinϕ|11.

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