**COMP-761: Quantum Information Theory**

**Student Presentations**

**Format: **

** **

Each student will make a fifty minute presentation on a
topic from the recent quantum information theory literature. Most presentations
will focus on a single research paper, but I am open to presentations that
synthesize results from several papers. Presentations should be targeted to the
other students in the class, who will likely not be familiar with the
objectives, definitions and techniques used in the paper under consideration.
Therefore, a significant amount of time should be devoted to motivating and
introducing the problem, say roughly 10-15 minutes. Some effort should be made
to explain the methods used in the paper even when a full description will be
impossible due to the time constraint. Laptop projector, overhead
transparencies and blackboard are all acceptable media and I harbor no
preference among them. (Just beware the risks of each medium: blackboard
lectures can degenerate into confusion if not carefully prepared and
PowerPointers must act consciously to avoid powerpoints.) Be sure to leave a
few minutes at the end to sum up and offer some perspective. There will be a
ten minute question period after each presentation.

** **

**Schedule: **TBA

**Some tips (By no
means an exhaustive list):**

** **Practice to make sure your
presentation isn’t too long or too short.

Find a partner and practice again. Ask for constructive criticism.

Try to anticipate questions.

Be sure to explain all symbols on your slides. Don’t assume the audience has time to read them.

** **

**Possible topics (In
rough schedule order – feel free to suggest others):**

1) Quantum states cannot be broadcast

2) Failure of the additivity conjecture for the classical capacity of a quantum channel

arxiv:0807.4753, arxiv:0809.3972

3) Universal quantum compression and
entanglement concentration

quant-ph/0403078, quant-ph/0209124, quant-ph/0209030

4) Redistributing quantum
information

quant-ph/0612050
(announcement), arxiv :0805.1065
(easy proof), arxiv :0706.2907
(hard proof)

5) The subentropy and lower bounds on accessible information

Phys. Rev. A 49, 668–677 (1994)

6) Locking correlations in quantum states

quant-ph/0303088, quant-ph/0307104, quant-ph/0404096

7) Equivalence of additivity conjectures in quantum information theory

8) Remote state preparation

9) Capacities of bidirectional channels

quant-ph/0205057, quant-ph/0307091 (Bidirectional part)

10) Identification capacities of
quantum channels

quant-ph/0401060, quant-ph/0403203

11) Unconditional privacy over channels which cannot convey quantum information

12) Quantum data transmission from an information uncertainty relation

13) Distilling common randomness from noisy entanglement

14) Accessible information, POVM’s and nonlocality

Phys. Rev. Lett. 66, 1119-1122 (1991).

15) All inequalities for the relative entropy

16) Optimal superdense coding of entangled quantum states

17) The capacity of a quantum channel for simultaneous transmission of classical and quantum information

18) Distillation of secret key and entanglement from quantum states

19) The quantum Schur transform: I. Efficient qudit circuits

20) A de Finetti representation for finite symmetric quantum states

21) Entanglement of assistance and multipartite state distillation

22) Unextendible product bases, uncompletable product bases and bound entanglement

23) Quantum network coding