메뉴 건너뛰기




Volumn 3, Issue , 2012, Pages

The elusive Heisenberg limit in quantum-enhanced metrology

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ANALYTIC METHOD; ARTICLE; DEPOLARIZATION; GEOMETRY; GRAVITY; HEISENBERG SCALING; PHOTON; QUANTUM ENHANCED METROLOGY; QUANTUM THEORY; SIMULATION;

EID: 84867033243     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms2067     Document Type: Article
Times cited : (796)

References (58)
  • 2
    • 79955660437 scopus 로고    scopus 로고
    • Quantum metrology: Beauty and the noisy beast
    • Maccone, L. & Giovannetti, V. Quantum metrology: beauty and the noisy beast. Nat. Phys. 7, 376-377 (2011).
    • (2011) Nat. Phys. , vol.7 , pp. 376-377
    • MacCone, L.1    Giovannetti, V.2
  • 3
    • 65449145089 scopus 로고    scopus 로고
    • Quantum estimation for quantum technology
    • Paris, M. G. A. Quantum estimation for quantum technology. Int. J. Quant. Inf. 7, 125-137 (2009).
    • (2009) Int. J. Quant. Inf. , vol.7 , pp. 125-137
    • Paris, M.G.A.1
  • 6
    • 67349153303 scopus 로고    scopus 로고
    • Local asymptotic normality for finite dimensional quantum systems
    • Kahn, J. & Gü, M. Local asymptotic normality for finite dimensional quantum systems. Commun. Math. Phys. 289, 597-652 (2009).
    • (2009) Commun. Math. Phys. , vol.289 , pp. 597-652
    • Kahn, J.1    Gü, M.2
  • 7
    • 8844286884 scopus 로고    scopus 로고
    • Quantum-enhanced measurements: Beating the standard quantum limit
    • DOI 10.1126/science.1104149
    • Giovannetti, V., Lloyd, S. & Maccone, L. Quantum-enhanced measurements: beating the standard quantum limit. Science 306, 1330-1336 (2004). (Pubitemid 39534415)
    • (2004) Science , vol.306 , Issue.5700 , pp. 1330-1336
    • Giovannetti, V.1    Lloyd, S.2    Maccone, L.3
  • 9
    • 0000519707 scopus 로고
    • Statistical distance and the geometry of quantum states
    • Braunstein, S. L. & Caves, C. M. Statistical distance and the geometry of quantum states. Phys. Rev. Lett. 72, 3439-3443 (1994). (Pubitemid 24975442)
    • (1994) Physical Review Letters , vol.72 , Issue.22 , pp. 3439-3443
    • Braunstein, S.L.1    Caves, C.M.2
  • 10
    • 0034430377 scopus 로고    scopus 로고
    • Optimal states and almost optimal adaptive measurements for quantum interferometry
    • DOI 10.1103/PhysRevLett.85.5098
    • Berry, D. W. & Wiseman, H. M. Optimal states and almost optimal adaptive measurements for quantum interferometry. Phys. Rev. Lett. 85, 5098-5101 (2000). (Pubitemid 32871783)
    • (2000) Physical Review Letters , vol.85 , Issue.24 , pp. 5098-5101
    • Berry, D.W.1    Wiseman, H.M.2
  • 11
    • 78049233268 scopus 로고    scopus 로고
    • General optimality of the heisenberg limit for quantum metrology
    • Zwierz, M., Prez-Delgado, C. A. & Kok, P. General optimality of the heisenberg limit for quantum metrology. Phys. Rev. Lett. 105, 180402 (2010).
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 180402
    • Zwierz, M.1    Prez-Delgado, C.A.2    Kok, P.3
  • 12
    • 2442714078 scopus 로고    scopus 로고
    • Super-resolving phase measurements with a multiphoton entangled state
    • DOI 10.1038/nature02493
    • Mitchell, M. W., Lundeen, J. S. & Steinberg, A. M. Super-resolving phase measurements with a multi-photon entangled state. Nature 429, 161-164 (2004). (Pubitemid 38656187)
    • (2004) Nature , vol.429 , Issue.6988 , pp. 161-164
    • Mitchell, M.W.1    Lundeen, J.S.2    Steinberg, A.M.3
  • 14
    • 34248193756 scopus 로고    scopus 로고
    • Beating the standard quantum limit with four-entangled photons
    • DOI 10.1126/science.1138007
    • Nagata, T., Okamoto, R., O'Brien, J. L., Sasaki, K. & Takeuchi, S. Beating the standard quantum limit with four entangled photons. Science 316, 726-729 (2007). (Pubitemid 46717676)
    • (2007) Science , vol.316 , Issue.5825 , pp. 726-729
    • Nagata, T.1    Okamoto, R.2    O'Brien, J.L.3    Sasaki, K.4    Takeuchi, S.5
  • 15
    • 34547166993 scopus 로고    scopus 로고
    • Time-reversal and super-resolving phase measurements
    • Resch, K. J. et al. Time-reversal and super-resolving phase measurements. Phys. Rev. Lett. 98, 223601 (2007).
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 223601
    • Resch, K.J.1
  • 16
    • 67651238180 scopus 로고    scopus 로고
    • Demonstrating heisenberg-limited unambiguous phase estimation without adaptive measurements
    • Higgins, B. L. et al. Demonstrating heisenberg-limited unambiguous phase estimation without adaptive measurements. New J. Phys. 11, 073023 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 073023
    • Higgins, B.L.1
  • 17
    • 84921022931 scopus 로고    scopus 로고
    • A gravitational wave observatory operating beyond the quantum shot-noise limit
    • LIGO Collaboration
    • LIGO Collaboration. A gravitational wave observatory operating beyond the quantum shot-noise limit. Nat. Phys. 7, 962-965 (2011).
    • (2011) Nat. Phys. , vol.7 , pp. 962-965
  • 18
    • 44849130627 scopus 로고    scopus 로고
    • A quantum-enhanced prototype gravitational-wave detector
    • Goda, K. et al. A quantum-enhanced prototype gravitational-wave detector. Nat. Phys. 4, 472-476 (2008).
    • (2008) Nat. Phys. , vol.4 , pp. 472-476
    • Goda, K.1
  • 23
    • 77950441891 scopus 로고    scopus 로고
    • Quantum noise limited and entanglement-assisted magnetometry
    • Wasilewski, W. et al. Quantum noise limited and entanglement-assisted magnetometry. Phys. Rev. Lett. 104, 133601 (2010).
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 133601
    • Wasilewski, W.1
  • 24
  • 25
    • 36248962184 scopus 로고    scopus 로고
    • Entanglement-free Heisenberg-limited phase estimation
    • DOI 10.1038/nature06257, PII NATURE06257
    • Higgins, B. L., Berry, D. W., Bartlett, S. D., Wiseman, H. M. & Pryde, G. J. Entanglement-free heisenberg-limited phase estimation. Nature 450, 393-396 (2007). (Pubitemid 350126742)
    • (2007) Nature , vol.450 , Issue.7168 , pp. 393-396
    • Higgins, B.L.1    Berry, D.W.2    Bartlett, S.D.3    Wiseman, H.M.4    Pryde, G.J.5
  • 26
    • 78649607660 scopus 로고    scopus 로고
    • Multi-pass classical versus quantum strategies in lossy phase estimation
    • Demkowicz-Dobrzanski, R. Multi-pass classical versus quantum strategies in lossy phase estimation. Laser Phys. 20, 1197-1202 (2010).
    • (2010) Laser Phys. , vol.20 , pp. 1197-1202
    • Demkowicz-Dobrzanski, R.1
  • 27
    • 33847676717 scopus 로고    scopus 로고
    • Generalized limits for single-parameter quantum estimation
    • Boixo, S., Flammia, S. T., Caves, S. T. & Geremia, J. M. Generalized limits for single-parameter quantum estimation. Phys. Rev. Lett 98, 090401 (2007).
    • (2007) Phys. Rev. Lett , vol.98 , pp. 090401
    • Boixo, S.1    Flammia, S.T.2    Caves, S.T.3    Geremia, J.M.4
  • 28
    • 79953059606 scopus 로고    scopus 로고
    • Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
    • Napolitano, M. et al. Interaction-based quantum metrology showing scaling beyond the Heisenberg limit. Nature 471, 486-489 (2011).
    • (2011) Nature , vol.471 , pp. 486-489
    • Napolitano, M.1
  • 29
    • 60449105950 scopus 로고    scopus 로고
    • Optimal quantum phase estimation
    • Dorner, U. et al. Optimal quantum phase estimation. Phys. Rev. Lett. 102, 040403 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 040403
    • Dorner, U.1
  • 30
    • 69449096151 scopus 로고    scopus 로고
    • Quantum phase estimation with lossy interferometers
    • Demkowicz-Dobrzaski, R. et al. Quantum phase estimation with lossy interferometers. Phys. Rev. A 80, 013825 (2009).
    • (2009) Phys. Rev. A , vol.80 , pp. 013825
    • Demkowicz-Dobrzaski, R.1
  • 31
    • 34548787812 scopus 로고    scopus 로고
    • Qubit metrology and decoherence
    • Shaji, A. & Caves, C. M. Qubit metrology and decoherence. Phys. Rev. A 76, 032111 (2007).
    • (2007) Phys. Rev. A , vol.76 , pp. 032111
    • Shaji, A.1    Caves, C.M.2
  • 32
    • 3242700757 scopus 로고    scopus 로고
    • Stability of atomic clocks based on entangled atoms
    • Andrè, A., Sorensen, A. S. & Lukin, M. D. Stability of atomic clocks based on entangled atoms. Phys. Rev. Lett. 92, 230801 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 230801
    • Andrè, A.1    Sorensen, A.S.2    Lukin, M.D.3
  • 33
    • 63849109193 scopus 로고    scopus 로고
    • Robustness of heisenberg-limited interferometry with balanced fock states
    • Meiser, D. & Holland, M. J. Robustness of heisenberg-limited interferometry with balanced fock states. New J. Phys. 11, 033002 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 033002
    • Meiser, D.1    Holland, M.J.2
  • 35
    • 79961074045 scopus 로고    scopus 로고
    • Quantum metrology with imperfect states and detectors
    • Datta, A. et al. Quantum metrology with imperfect states and detectors. Phys. Rev. A 83, 063836 (2011).
    • (2011) Phys. Rev. A , vol.83 , pp. 063836
    • Datta, A.1
  • 37
    • 80052472607 scopus 로고    scopus 로고
    • Real-world quantum sensors: Evaluating resources for precision measurement
    • Thomas-Peter, N. et al. Real-world quantum sensors: evaluating resources for precision measurement. Phys. Rev. Lett. 107, 113603 (2011).
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 113603
    • Thomas-Peter, N.1
  • 38
    • 78649586246 scopus 로고    scopus 로고
    • Phase estimation without a priori phase knowledge in the presence of loss
    • Kołodyski, J. & Demkowicz-Dobrzaski, R. Phase estimation without a priori phase knowledge in the presence of loss. Phys, Rev. A 82, 053804 (2010).
    • (2010) Phys, Rev. A , vol.82 , pp. 053804
    • Kołodyski, J.1    Demkowicz-Dobrzaski, R.2
  • 39
    • 79952087358 scopus 로고    scopus 로고
    • Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state
    • Knysh, S., Smelyanskiy, V. N. & Durkin, G. A. Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state. Phys. Rev. A 83, 021804(R) (2011).
    • (2011) Phys. Rev. A , vol.83
    • Knysh, S.1    Smelyanskiy, V.N.2    Durkin, G.A.3
  • 40
    • 79955659309 scopus 로고    scopus 로고
    • General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
    • Escher, B. M., de Matos Filho, R. L. & Davidovich, L. General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology. Nat. Phys. 7, 406-411 (2011).
    • (2011) Nat. Phys. , vol.7 , pp. 406-411
    • Escher, B.M.1    De Matos Filho, R.L.2    Davidovich, L.3
  • 42
    • 48249140704 scopus 로고    scopus 로고
    • A fibre bundle over manifolds of quantum channels and its application to quantum statistics
    • Fujiwara, A. & Imai, H. A fibre bundle over manifolds of quantum channels and its application to quantum statistics. J. Phys. A: Math. Theor. 41, 255304 (2008).
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 255304
    • Fujiwara, A.1    Imai, H.2
  • 44
    • 0000024865 scopus 로고    scopus 로고
    • Correlated input-port, matter-wave interferometer: Quantum-noise limits to the atom-laser gyroscope
    • Dowling, J. P. Correlated input-port, matter-wave interferometer: quantum-noise limits to the atom-laser gyroscope. Phys. Rev. A 57, 4736-4746 (1998). (Pubitemid 128602907)
    • (1998) Physical Review A - Atomic, Molecular, and Optical Physics , vol.57 , Issue.6 , pp. 4736-4746
    • Dowling, J.P.1
  • 48
    • 31244433606 scopus 로고    scopus 로고
    • An analysis of completely-positive trace-preserving maps on 2×2 matrices
    • Ruskai, M. B., Szarek, S. & Werner, E. An analysis of completely-positive trace-preserving maps on 2×2 matrices. Lin. Alg. Appl. 347, 159-187 (2002).
    • (2002) Lin. Alg. Appl. , vol.347 , pp. 159-187
    • Ruskai, M.B.1    Szarek, S.2    Werner, E.3
  • 49
    • 0000910410 scopus 로고
    • Quantum-mechanical noise in an interferometer
    • Caves, C. M. Quantum-mechanical noise in an interferometer. Phys. Rev. D. 23, 1693-1708 (1981).
    • (1981) Phys. Rev. D. , vol.23 , pp. 1693-1708
    • Caves, C.M.1
  • 50
    • 40849094867 scopus 로고    scopus 로고
    • Mach-Zehnder interferometry at the Heisenberg limit with coherent and squeezed-vacuum light
    • Pezze, L. & Smerzi, A. Mach-Zehnder interferometry at the Heisenberg limit with coherent and squeezed-vacuum light. Phys. Rev. Lett. 100, 073601 (2008).
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 073601
    • Pezze, L.1    Smerzi, A.2
  • 51
    • 79960633212 scopus 로고    scopus 로고
    • Optical phase estimation in the presence of phase-diffusion
    • Genomi, M. G., Olivares, S. & Paris, M. G. A. Optical phase estimation in the presence of phase-diffusion. Phys. Rev. Lett. 106, 153603 (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 153603
    • Genomi, M.G.1    Olivares, S.2    Paris, M.G.A.3
  • 52
    • 84855477336 scopus 로고    scopus 로고
    • Ultimate sensitivity of precision measurements with intense Gaussian quantum light: A multimodal approach
    • Pinel, O. et al. Ultimate sensitivity of precision measurements with intense Gaussian quantum light: a multimodal approach. Phys. Rev. A 85, 010101(R) (2012).
    • (2012) Phys. Rev. A , vol.85
    • Pinel, O.1
  • 53
    • 84856290748 scopus 로고    scopus 로고
    • Quantum interferometry with and without an external phase reference
    • Jarzyna, M. & Demkowicz-Dobrzanski, R. Quantum interferometry with and without an external phase reference. Phys. Rev. A 85, 011801(R) (2012).
    • (2012) Phys. Rev. A , vol.85
    • Jarzyna, M.1    Demkowicz-Dobrzanski, R.2
  • 54
    • 0001463190 scopus 로고    scopus 로고
    • Optical coherence: A convenient fiction
    • Molmer, K. Optical coherence: a convenient fiction. Phys. Rev. A 55, 3195 (1996).
    • (1996) Phys. Rev. A , vol.55 , pp. 3195
    • Molmer, K.1
  • 55
    • 4243359617 scopus 로고    scopus 로고
    • Quantum channel identification problem
    • Fujiwara, A. Quantum channel identification problem. Phys. Rev. A 63, 042304 (2001).
    • (2001) Phys. Rev. A , vol.63 , pp. 042304
    • Fujiwara, A.1
  • 56
    • 35448975107 scopus 로고
    • Linear transformations which preserve trace and positive semidefiniteness of operators
    • Jamiolkowski, A. Linear transformations which preserve trace and positive semidefiniteness of operators. Rep. Math. Phys 3, 275-278 (1972).
    • (1972) Rep. Math. Phys , vol.3 , pp. 275-278
    • Jamiolkowski, A.1
  • 57
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex matrices
    • Choi, M.-D. Completely positive linear maps on complex matrices. Lin. Algebr. Appl. 10, 285-290 (1975).
    • (1975) Lin. Algebr. Appl. , vol.10 , pp. 285-290
    • Choi, M.-D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.