The twostate vector The twostate vector At time

  • Slides: 40
Download presentation
The two-state vector

The two-state vector

The two-state vector ?

The two-state vector ?

? At time t:

? At time t:

? At time t:

? At time t:

At time t:

At time t:

At time t:

At time t:

Erasing the past

Erasing the past

Erasing the past Hint: Alternative past for the same present

Erasing the past Hint: Alternative past for the same present

protection Erasing the past protection

protection Erasing the past protection

Are there any differences between what can be done to Nondemolition (von Neumann) measurements

Are there any differences between what can be done to Nondemolition (von Neumann) measurements ? A=? and ?

Are there any differences between what can be done to Unitary transformation ? U

Are there any differences between what can be done to Unitary transformation ? U U and ?

The two-state vector is a complete description of a system at time t The

The two-state vector is a complete description of a system at time t The two-state vector is what we can say now ( ) about the pre- and post-selected system at time t ? The two-state vector describes a single pre- and post-selected system, but to test predictions of the two-state vector we need a pre- and post-selected ensemble

The pre- and post-selected ensemble ? ? ?

The pre- and post-selected ensemble ? ? ?

The pre- and post-selected ensemble ? ? ?

The pre- and post-selected ensemble ? ? ?

A single pre- and post-selected system ?

A single pre- and post-selected system ?

A single pre- and post-selected system The two-state vector in the framework of the

A single pre- and post-selected system The two-state vector in the framework of the many-worlds interpretation of quantum mechanics ?

A single pre- and post-selected system The two-state vector in the framework of the

A single pre- and post-selected system The two-state vector in the framework of the many-worlds interpretation of quantum mechanics The other world ?

A single pre- and post-selected system The two-state vector in the framework of the

A single pre- and post-selected system The two-state vector in the framework of the many-worlds interpretation of quantum mechanics This world ?

The two-state vector is a complete description of a system at time t The

The two-state vector is a complete description of a system at time t The two-state vector is what we can say now ( ) about the pre- and post-selected system at time t ? So, what can we say?

Measurements performed on a pre- and post-selected system described by the two-state vector: The

Measurements performed on a pre- and post-selected system described by the two-state vector: The Aharonov-Bergmann-Lebowitz (ABL) formula:

The Aharonov-Bergmann-Lebowitz (ABL) formula:

The Aharonov-Bergmann-Lebowitz (ABL) formula:

Measurements performed on a pre- and post-selected system described by the two-state vector: The

Measurements performed on a pre- and post-selected system described by the two-state vector: The Aharonov-Bergmann-Lebowitz (ABL) formula:

Measurements performed on a pre- and post-selected system described by the two-state vector: The

Measurements performed on a pre- and post-selected system described by the two-state vector: The Aharonov-Bergmann-Lebowitz (ABL) formula: At time t:

Measurements performed on a pre- and post-selected system described by the two-state vector: The

Measurements performed on a pre- and post-selected system described by the two-state vector: The Aharonov-Bergmann-Lebowitz (ABL) formula: Can we arrange at time t: ?

3 CUPS GAME NEW RULES You win when you do not find the ball

3 CUPS GAME NEW RULES You win when you do not find the ball You can look only under one of the two cups The dealer does not see your action, but he can look at the ball later and cancel a particular run of the game Quantum dealer can without cheating!

The ball is a pre- and post-selected system The two-state vector ?

The ball is a pre- and post-selected system The two-state vector ?

The 3 -boxes paradox Aharonov and Vaidman, JPA 24, 2315 (1991) Vaidman, Found. Phys.

The 3 -boxes paradox Aharonov and Vaidman, JPA 24, 2315 (1991) Vaidman, Found. Phys. 29, 865 (1999) Aharon and Vaidman, PRA 77, 052310 (2008) ? Where is the ball?

The three box paradox It is always in !

The three box paradox It is always in !

The three box paradox It is always in

The three box paradox It is always in

A single photon “sees” two balls Y. Aharonov and L. Vaidman Phys. Rev. A

A single photon “sees” two balls Y. Aharonov and L. Vaidman Phys. Rev. A 67, 042107 (2003) It scatters exactly as if there were two balls

Simple Counterfactual Computation with Outcome 0. 0 The outcome is 0. The computer was

Simple Counterfactual Computation with Outcome 0. 0 The outcome is 0. The computer was not running! Kwiat has to be right!

Kwiat’s scheme = 3 -boxes paradox C B 0 The computer was running! A

Kwiat’s scheme = 3 -boxes paradox C B 0 The computer was running! A Kwiat cannot be right!

Kwiat’s scheme = 3 -boxes paradox C B A

Kwiat’s scheme = 3 -boxes paradox C B A

Kwiat’s scheme = 3 -boxes paradox C A 0 B

Kwiat’s scheme = 3 -boxes paradox C A 0 B

Kwiat’s scheme = 3 -boxes paradox C 0 B There is no difference between

Kwiat’s scheme = 3 -boxes paradox C 0 B There is no difference between A and B: counterfactually it is in A as it is in B the same quantum descriptions in A and in B A Kwiat cannot be right!

Vector and Vector Resolution Scalar Vector Vectors VectorVector and Vector Resolution Scalar Vector Vectors Vector
The Vector Class Vector Class Write a VectorThe Vector Class Vector Class Write a Vector
Vector Calculus Examples of Vector Quantities Vector isVector Calculus Examples of Vector Quantities Vector is
4 4 Vector Vector 2 Vector 2x y4 4 Vector Vector 2 Vector 2x y
Chapter 13 Vector Calculus Vector Functions a VectorChapter 13 Vector Calculus Vector Functions a Vector
VECTOR GRAPHICS COMPUTER GRAPHIC VECTOR GRAPHICS Vector graphicsVECTOR GRAPHICS COMPUTER GRAPHIC VECTOR GRAPHICS Vector graphics
Vector Addition and Subtraction SCALAR VECTOR Vector AdditionVector Addition and Subtraction SCALAR VECTOR Vector Addition
VECTOR GRAPHICS By Kyle Irwin Vector Graphics VectorVECTOR GRAPHICS By Kyle Irwin Vector Graphics Vector
PAP PHYSICS Vector And Vector Addition Vector nPAP PHYSICS Vector And Vector Addition Vector n
Introduo to Geoinformatics vector geometries Vector geometries VectorIntroduo to Geoinformatics vector geometries Vector geometries Vector
16 Vector Calculus 16 1 Vector Fields Vector16 Vector Calculus 16 1 Vector Fields Vector
Prerequisites for quantum computation Collection of twostate quantumPrerequisites for quantum computation Collection of twostate quantum
More about Markov model The simple twostate modelMore about Markov model The simple twostate model
Each of these twostate Hamiltonians has the sameEach of these twostate Hamiltonians has the same
The TwoState Paramagnet A system of noninteracting magneticThe TwoState Paramagnet A system of noninteracting magnetic
Twostate Reversible Universal Cellular Automata In Three DimensionsTwostate Reversible Universal Cellular Automata In Three Dimensions
Machine Language Computers are made of twostate electronicMachine Language Computers are made of twostate electronic
A twostate homology model of the h ERGA twostate homology model of the h ERG
Lecture 8 Vector Space Last Time Vector SpacesLecture 8 Vector Space Last Time Vector Spaces
Lecture 8 Vector Space Last Time Vector SpacesLecture 8 Vector Space Last Time Vector Spaces
Lecture 8 Vector Space Last Time Vector SpacesLecture 8 Vector Space Last Time Vector Spaces
Story time Fun time Grammar time Cartoon timeStory time Fun time Grammar time Cartoon time
Vector data model TIN Triangulated Irregular Network VectorVector data model TIN Triangulated Irregular Network Vector
VECTOR VS BITMAP V 104 03 VECTOR IMAGESVECTOR VS BITMAP V 104 03 VECTOR IMAGES