Fetching the paper…

Reading the bibliography…

2013

A Note on Different Definitions of Momentum Disturbance

Rozema, Lee A., Mahler, Dylan H., Hayat, Alex et al.

Original
PDF
Post on X

Understand

In [1], Busch et al.

showed that it is possible to construct an error-disturbance relation having the same form as Heisenberg's original heuristic definition[2], in contrast to the theory proposed by Ozawa[3] which we and others recently confirmed experimentally[4,5].
With Ozawa's definitions of measurement error and disturbance, a relation of Heisenberg's form is not in general valid, and a new error-disturbance relationship can be derived.
Here we explain the different physical significance of the two definitions, and suggest that Ozawa's definition better corresponds to the usual understanding of the disturbance that Heisenberg discussed.

A Note on Different Definitions of Momentum Disturbance · Around

Built on

E. H. Kennard, Z. Phys. 44
1927
Earlier work this paper cites.
H. Weyl, Gruppentheorie Und Quantenmechanik (Hirzel, Leipzig, 1928)
1928
Earlier work this paper cites.
H. P. Robertson, Phys. Rev. 34
1929
Earlier work this paper cites.
W. Heisenberg, Z. Phys. 43
1984
Earlier work this paper cites.
M. O. Scully, B. G. Englert, and H. Walther, Nature 351
1991
Earlier work this paper cites.

Similar

P. Storey, S. Tan, M. Collett, and D. Walls, Nature 367
1994
Cited alongside, same era.
M. Ozawa, Phys. Rev. A 67
2003
Cited alongside, same era.
R. F. Werner, Quantum Inform. Comput. 4
2004
Cited alongside, same era.
R. Mir, J. Lundeen, M. Mitchell, A. Steinberg, H. Wiseman, and J. Garretson, New J. Phys. 9
2007
Cited alongside, same era.
A. P. Lund and H. M. Wiseman, New J. Phys. 12
2010
Cited alongside, same era.
For the finite slit example with ϵ ⁡ ( \mathaccentV h a t 05 E X ) > Δ X \epsilon(\mathaccentV{hat}05E{X})>\Delta{X} , Busch et al
Cited in the paper.

Then

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, Nature Phys. 8
2012
Later among the works it cites.
L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, Phys. Rev. Lett. 109
2012
Later among the works it cites.
P. Busch, P. Lahti, and R. F. Werner, arXiv:1306.1565 [quant-ph] (2013)
Original
2013
Closest in time.
M. M. Weston, M. J. W. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, Phys. Rev. Lett. 110
2013
Closest in time.
C. Branciard, Proceedings of the National Academy of Sciences 110
2013
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…