Complex weak values in quantum measurement

被引：262

作者：

Jozsa, Richard ^{[1
]}

机构：

[1] Univ Bristol, Dept Comp Sci, Bristol BS8 1UB, Avon, England

来源：

PHYSICAL REVIEW A | 2007年 / 76卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.76.044103

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In the weak value formalism of Aharonov , the weak value A(w) of any observable A is generally a complex number. We derive a physical interpretation of its value in terms of the shift in the measurement pointer's mean position and mean momentum. In particular, we show that the mean position shift contains a term jointly proportional to the imaginary part of the weak value and the rate at which the pointer is spreading in space as it enters the measurement interaction.

引用

页数：3

共 12 条

[1] Quantum averages of weak values
Aharonov, Y
Botero, A
[J]. PHYSICAL REVIEW A, 2005, 72 (05):
[2] MEASUREMENTS, ERRORS, AND NEGATIVE KINETIC-ENERGY
AHARONOV, Y
POPESCU, S
ROHRLICH, D
VAIDMAN, L
[J]. PHYSICAL REVIEW A, 1993, 48 (06): : 4084 - 4090
[3] Revisiting Hardy's paradox: counterfactual statements, real measurements, entanglement and weak values
Aharonov, Y
Botero, A
Popescu, S
Reznik, B
Tollaksen, J
[J]. PHYSICS LETTERS A, 2002, 301 (3-4) : 130 - 138
[4] HOW THE RESULT OF A MEASUREMENT OF A COMPONENT OF THE SPIN OF A SPIN-1/2 PARTICLE CAN TURN OUT TO BE 100
AHARONOV, Y
ALBERT, DZ
VAIDMAN, L
[J]. PHYSICAL REVIEW LETTERS, 1988, 60 (14) : 1351 - 1354
[5] Aharonov Y, 2005, QUANTUM PARADOXES: QUANTUM THEORY FOR THE PERPLEXED
[6] Weak measurement of the arrival times of single photons and pairs of entangled photons
Ahnert, SE
Payne, MC
[J]. PHYSICAL REVIEW A, 2004, 69 (04): : 042103 - 1
[7] THE SENSE IN WHICH A WEAK MEASUREMENT OF A SPIN-1/2 PARTICLES SPIN COMPONENT YIELDS A VALUE 100
DUCK, IM
STEVENSON, PM
SUDARSHAN, ECG
[J]. PHYSICAL REVIEW D, 1989, 40 (06): : 2112 - 2117
[8] The uncertainty relation in 'which-way' experiments: how to observe directly the momentum transfer using weak values
Garretson, JL
Wiseman, HM
Pope, DT
Pegg, DT
[J]. JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2004, 6 (06) : S506 - S517
[9] MITCHISON G, ARXIV07061508V2
[10] Experimental realization of the quantum box problem
Resch, KJ
Lundeen, JS
Steinberg, AM
[J]. PHYSICS LETTERS A, 2004, 324 (2-3) : 125 - 131

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