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Dr. Howard E. Brandt U.S. Army Research Laboratory (ARL) An Isaac Newton Institute Workshop Entanglement and Transfer of Quantum Information Quantum Cryptographic Probing by Entanglement 27 September – 1 October 2004
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1= 0= 1= 0= Binary Encoding in Photon Linear-Polarization States for BB84 Protocol
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General Entangling Probe Probe interacts unitarily with signal on its way from transmitter to legitimate receiver and is projectively measured after signal is projectively measured by legitimate receiver. M Probe Measuring Device Probe Transmitter Receiver U
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(two-dimensional probe) (four-dimensional probe)
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Entangling Probe Schematic CNOT gate (cavity QED / solid state / ?) probe photon incident signal state gated probe photon gated signal photon delay switch Wollaston Prism
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H. E. Brandt, “Optimum probe parameters for entangling probe in quantum key distribution,” Quantum Information Processing 2, 37-79 (2003). H. E. Brandt, “Optimization problem in quantum cryptography,” J. Optics B 5, S1-4 (2003). H. E. Brandt, “Quantum measurement with a positive operator valued measure”, J. Optics B 5, S266-270 (2003). H. E. Brandt, “Probe optimization in four-state protocol of quantum cryptography,” Phys. Rev. A 66, 032303 (16) (2002). H. E. Brandt, “Secrecy capacity in the four-state protocol of quantum key distribution,” J. Math. Phys. 43, 4526-4530 (2002). H. E. Brandt, “Inconclusive rate with a positive operator valued measure,” Contemp. Math. 305, 43-52 (2002). H. E. Brandt, “Qubit Devices,” Proc. Sympos. Appl. Math. 58, 67-139 (2002). H. E. Brandt, “Deconstructing Wigner’s density matrix concerning the mind-body question,” Found. Phys. Lett. 15, 287-292 (2002). Selected Refereed Publications on Quantum Information Processing
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H. E. Brandt, “Inconclusive rate in quantum key distribution,” Phys. Rev. A 64, 042316 (5) (2001). H. E. Brandt, “Inconclusive rate as a disturbance measure in quantum cryptography,” Phys. Rev. A 62, 042310 (14) (2000). H. E. Brandt, “Eavesdropping optimization for quantum cryptography using a positive operator-valued measure,” Phys. Rev. A 59, 2665-2669 (1999). H. E. Brandt, “Positive operator valued measure in quantum information processing,” Am. J. Phys. 67, 434-439 (1999). H. E. Brandt, “Qubit devices and the issue of quantum decoherence,” Prog. Quantum Electronics 22, 257-370 (1998). H. E. Brandt, “Quantum decoherence in qubit devices,” Opt. Eng. 37, 600-609 (1998). H. E. Brandt, J. Myers, S. Lomonaco, “Aspects of entangled translucent eavesdropping in quantum cryptography,” Phys. Rev. A 56, 4456-4465 (1997). J. Myers, H. E. Brandt, “Converting a positive operator-valued measure to a design for a measuring instrument on the laboratory bench,” Meas. Sci. Technol. 8, 1222-1227 (1997). Selected Refereed Publications on Quantum Information Processing (cont.)
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