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I BIELE-009 1
B.Tech. -VIEP -ELECTRONICS AND
COMMUNICATION ENGINEERING (BTECVI)
Term-End Examination
June, 2016

BIELE-009 QUANTUM COMMUNICATION
Time: 3 hours Maximum Marks: 70
Note: Attempt any seven questions. All questions carry equal marks. Missing data, if any, may be suitably assumed. Use of calculator is permitted.

1. Differentiate between open and closed quantum system dynamics. What are the basic requirements for an open and a closed system quantum map? 5+5=10

2. State 'Stinespring Theorem'. Explain the relevance of this theorem in the measurement of a positive valued operator. 3+7=10

3. What are the different steps involved in the process of encoding and decoding of a quantum state Explain with the help of a suitable example. 10

4. Explain the significance of Holevo's theorem on mutual information for ensembles of quantum states. 10

5. Establish the relationship between pure state ensemble compression with Von-Neumann entropy. What are the assumptions made while establishing the relation? 10

6. With reference to Quantum Coding Theory, explain how Shor's 9 qubit code protects the information against bit flips and phase flips. 10

7. Explain the application of Holevo-Schumacher-Westmoreland theorem in finding the channel capacity of a quantum channel. 10

8. With the help of a suitable example, explain in brief how quantum communication is done over quantum channels. 10

9. Explain the procedure for encoding classical bits into the z-axis spin projection of an electron. 10

10. Write short notes on any two of the following: 2x5=10

Holevo's Theorem

Partial Trace Operator

Scaling Issues in Hilbert Space