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Matteo G A Paris Quantum Optics & Information Group Universit à di Milano qinf.fisica.unimi.it/~paris. Title. Informatica Quantistica: Introduzione. Milano, 30 Maggio 2005. Info Phys. Information is physical. Information is physical.

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Title

Matteo G A Paris

Quantum Optics & Information Group

Università di Milano

qinf.fisica.unimi.it/~paris

Title

Informatica Quantistica:

Introduzione

Milano, 30 Maggio 2005


Info phys

Info Phys

Information is physical


Title

Information is physical

Coding: logical bit / physical degree of freedom

(superpositions and non-orthogonality)

Transmission, manipulation: Logical gates should be unitary.

After interactions information carriers cannot be separately

described (superpositions  entanglement)

Decoding: uncertainty relations and impossibility of

joint measurements


Noise reso

Noise Reso

Information is physical:

quantum mechanics

Superpositions

(coherence)

Entanglement

Uncertainty relations

Fluctuations

Noise

Resource


Title

QInf

Quantum Information

Impossible machines

 cloning

 quantum repeaters

 limits to amplification

 nonorthogonality

 signal discrimination

 joint measurements

Quantum resources

 parallelism

 quantum computing

 entanglement

 teleportation

 dense coding

Quantum cryptography


No clon 1

No Clon 1


No clon 2

No Clon 2


St discr

St Discr

State discrimination

 1≠0 no way to discriminate with certainty

error probability Pe = z0 P10 + z1 P01 Pij = Tr [j i]

Optimal detection

1= >0 |>< | 0=  - 1

|  >=  |  > = z1 1 - z0 

  • open problems:

  • mixed states

  • asymm. sets

Minimum error (pure states)


Joint m

Joint M


Crypto

Crypto


Q crypto 1

Q Crypto 1


Q crypto 2

Q Crypto 2


D cod 1

D cod 1


D cod 2

D cod 2


Title

TLP


Q calc

Q Calc


Ctrl f

CTRL F


Deutsch

Deutsch


Grover

Grover


Title

Shor


Univgate1

UnivGate1


Univgate2

UnivGate2


Qc risorse

QC risorse


Outro

Outro

Open problems (among many others)

 Implementations QC

(scalable, robust against decoherence)

 Quantum algorithms

 Reversible computation

 Characterization of entanglement


Toffoli

Toffoli


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