activity
19992010
most citedA new proof for the existence of mutually unbiased bases

581 citations · 1.6k across the 27 of their papers we have counts for

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12 papers · 1 filter

quant-ph2005★ 1 cited

A Proof of the Security of Quantum Key Distribution

Eli Biham, Michel Boyer, P. Oscar Boykin +2

We prove the security of theoretical quantum key distribution against the most general attacks which can be performed on the channel, by an eavesdropper who has unlimited computati…

quant-ph2005★ 13 cited

Mutually Unbiased Bases and Orthogonal Decompositions of Lie Algebras

P. Oscar Boykin, Meera Sitharam, Pham Huu Tiep +1

We establish a connection between the problem of constructing maximal collections of mutually unbiased bases (MUBs) and an open problem in the theory of Lie algebras. More precisel…

quant-ph2005★ 31 cited

Real Mutually Unbiased Bases

P. Oscar Boykin, Meera Sitharam, Mohamad Tarifi +1

We tabulate bounds on the optimal number of mutually unbiased bases in R^d. For most dimensions d, it can be shown with relatively simple methods that either there are no real orth…

quant-ph2004★ 2 cited

Information vs. Disturbance in Dimension D

P. Oscar Boykin, Vwani P. Roychowdhury

We show that for Eve to get information in one basis about a state, she must cause errors in all bases that are mutually unbiased to that basis. Our result holds in any dimension.…

quant-ph2004★ 51 cited

Threshold Error Penalty for Fault Tolerant Computation with Nearest Neighbour Communication

T. Szkopek, P. O. Boykin, H. Fan +5

The error threshold for fault tolerant quantum computation with concatenated encoding of qubits is penalized by internal communication overhead. Many quantum computation proposals…

quant-ph2002★ 26 cited

Information Security and Quantum Mechanics: Security of Quantum Protocols

P. Oscar Boykin

The problem of security of quantum key protocols is examined. In addition to the distribution of classical keys, the problem of encrypting quantum data and the structure of the ope…

quant-ph2001★ 197 cited

Algorithmic Cooling and Scalable NMR Quantum Computers

P. Oscar Boykin, Tal Mor, Vwani Roychowdhury +2

We present here algorithmic cooling (via polarization-heat-bath)- a powerful method for obtaining a large number of highly polarized spins in liquid nuclear-spin systems at finite…

quant-ph2001★ 581 cited

A new proof for the existence of mutually unbiased bases

Somshubhro Bandyopadhyay, P. Oscar Boykin, Vwani Roychowdhury +1

We develop a strong connection between maximally commuting bases of orthogonal unitary matrices and mutually unbiased bases. A necessary condition of the existence of mutually unbi…

quant-ph2000★ 345 cited

Optimal Encryption of Quantum Bits

P. Oscar Boykin, Vwani Roychowdhury

We characterize the complete set of protocols that may be used to securely encrypt n quantum bits using secret and random classical bits. In addition to the application of such qua…

quant-ph1999★ 63 cited

A Proof of the Security of Quantum Key Distribution

Eli Biham, Michel Boyer, P. Oscar Boykin +2

We prove the security of quantum key distribution against the most general attacks which can be performed on the channel, by an eavesdropper who has unlimited computation abilities…

quant-ph1999★ 3 cited

Algorithms on Ensemble Quantum Computers

P. Oscar Boykin, Tal Mor, Vwani Roychowdhury +1

In ensemble (or bulk) quantum computation, measurements of qubits in an individual computer cannot be performed. Instead, only expectation values can be measured. As a result of th…

quant-ph1999★ 84 cited

On Universal and Fault-Tolerant Quantum Computing

P. Oscar Boykin, Tal Mor, Matthew Pulver +2

A novel universal and fault-tolerant basis (set of gates) for quantum computation is described. Such a set is necessary to perform quantum computation in a realistic noisy environm…