## Profile
Quantum Computation
Quantum Information Science
Quantum Optics
Quantum Nanotechnology and Surface Science
Quantum Biology
## Outputs
Title | Category | Date | Authors |
SU(1,1) symmetry of multimode squeezed states University of Calgary | Publication | 2008-01-01 | Z. Shaterzadeh-Yazdi, P. Turner, B. C. Sanders | Characterizing the rate and coherence of single-electron tunneling between two dangling bonds on the surface of silicon University of Calgary, University of Alberta | Publication | 2014-01-01 | Z. Shaterzadeh-Yazdi, L. Livadaru, M. Taucer, J. Mutus, J. Pitters, R. A. Wolkow, B. C. Sanders | Three-mode squeezing: SU(1,1) symmetry University of Calgary | Publication | 2007-01-01 | Z. Shaterzadeh-Yazdi, P. Turner, B. C. Sanders | A three boson su(1,1) realisation for linear optical quantum information University of Calgary | Presentation | 2006-07-25 | Z. Shaterzadeh-Yazdi, P. Turner, B. C. Sanders | Quantum computing with dangling bond pairs on a Si surfaceIf, one day, a quantum computer is built, it would be able to efficiently solve some intractable computational problems such as factorizing large integers; this is something that would never be possible with today's classical computers. Despite all impressive progress that has been achieved in developing silicon quantum computing (QC) implementations for both spin and charge qubits, there are still serious obstacles remained for realizing such schemes where decoherence effects in charge qubit and read-out in spin qubit cases are at the heart of these challenges. A promising approach in overcoming the spin-qubit problem is to convert it to a charge qubit before doing the measurement. Thus, looking for a practical Si-based charge qubit is important not only as a quantum information carrier but also as an intercessor for spin-qubit measurement. We propose a feasible charge qubit QC scheme but on a Si surface rather than in crystal bulk. In our scheme charge qubit is an excess electron shared between two nearby dangling bonds (DBs). A DB is a bond created by removing a hydrogen atom by means of a scanning tunneling microscope tip from the hydrogen-terminated Si(100)2x1 surface. Signature of coupled DBs for a distance between 4 to 15 angstroms has already been shown experimentally in the demonstration of a quantum cellular automata unit cell on Si(100)2x1 surface and the implementation of our scheme is in fact leveraged on this success. Our scheme has a couple of significant advantages over the other proposed bulk silicon QC schemes: long coherence time, and direct manipulation and measurement of qubits on the surface. In my talk, I will address DiVincenzo criteria and demonstrate how our proposed scheme fulfill these criteria University of Calgary | Presentation | 2009-08-19 | Z. Shaterzadeh-Yazdi | Characterization of dangling-bond charge-qubit dynamics University of Calgary | Presentation | 2011-08-29 | Z. Shaterzadeh-Yazdi, B. C. Sanders | A new approach to mutlipartite squeezed statesAn efficient technique to characterize complex linear quantum optical networks comprised by passive and active optical devices is the use of the symplectic Lie group, Sp(2n, R). Such optical networks play a significant role in the context of quantum information processing, and have been used in a variety of quantum schemes such as quantum teleportation [1] and quantum state/secret sharing [2]. In general, the operation of a multiport network of this type on a Gaussian input state can be described by Sp(2n, R) transformations, which preserve Gaussian states. The key tool in such quantum optical experiments is the generation and application of squeezed states. Recently, three-mode squeezed states have been produced in several quantum schemes. For characterizing such schemes, we have established a three-mode realization of SU(1, 1), which is a subgroup of Sp(6, R), and consequently the three-mode squeezed states are the coherent states of SU(1, 1). The elegance of this approach helps us to generalize it to multi-mode realizations of SU(1, 1), and to use them for characterizing any multiport quantum optical network constructed by concatenating sections, each with one two-mode squeezer and several passive optical devices. Such realizations give us a new insight into the interesting properties of the multimode squeezed states generated by any complex quantum optical network of this type. References: [1] N. Takei et al., Phys. Rev. A, 72, 042304 (2005). [2] A.M. Lance et al, Phys. Rev. A, 92, 177903 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This work is being supported by iCORE University of Calgary | Presentation | 2007-06-19 | Z. Shaterzadeh-Yazdi, P. Turner, B. C. Sanders | Multi-partite squeezed states and SU(1,1) symmetryOne goal of quantum information science is quantum information processing using complex quantum optical networks comprising passive and active linear optical elements, such as beam splitters and squeezers. Such networks can be described mathematically as Sp(2n, R) transformations on n modes, which correspond to mappings that preserve Gaussian states.
Recently, tripartite squeezed states have been produced experimentally and are quite useful for quantum information tasks such as quantum state sharing and quantum teleportation. Theoretically, such states have been characterized based on the type of input states, but we have developed a simple and elegant mathematical framework, which is three-boson realization of SU(1, 1), and characterized all squeezed states of this type as SU(1, 1) coherent states. Inspired by the elegance of this theory, we have generalized it to multiboson realization of SU(1, 1) that characterizes any multi-port linear optical system constructed from a two-mode squeezer and several passive optical elements, or by concatenating such multi-port systems to each other. Thus, this theory gives us new insight into the properties of a large class of multipartite squeezed states generated in any complex optical network with concatenated sections each with one two-mode squeezer.
University of Calgary | Presentation | 2007-09-09 | Z. Shaterzadeh-Yazdi, P. Turner, B. C. Sanders | Tripartite continuous variable entangled states University of Calgary | Presentation | 2006-08-14 | Z. Shaterzadeh-Yazdi | Extended Hubbard model simulations of charge-qubit circuits: from idealism to realismCharge qubits are promising quantum logical elements for performing quantum computation or as intermediate states to prepare and read other qubit realizations such as spin or flux. Instead of idealizing the charge qubits at the outset and using standard quantum circuit theory, we use the extended Hubbard model as a first-principles model of charge qubit dynamics and model idealized proposals for charge-qubit circuits using this second-quantized description with short- and medium-range interactions. In particular we study how one- and two-qubit gates would perform for realistic systems, and we apply our theory to teleportation of a single charge qubit in a three-qubit system. We also discuss how to incorporate phonon noise into the model. University of Calgary | Presentation | 2010-03-16 | Z. Shaterzadeh-Yazdi, B. C. Sanders | Extended Hubbard model simulations of charge-qubit circuits: from idealism to realism University of Calgary | Publication | 2010-03-01 | Z. Shaterzadeh-Yazdi | Multi-partite entangled Gaussian states and su (1,1) symmetry University of Calgary | Presentation | 2007-05-23 | B. C. Sanders, Z. Shaterzadeh-Yazdi, P. Turner | The su(1,1) symmetry of tripartite entangled Gaussian statesTwo-mode squeezed light has been central to theoretical and experimental studies of continuous variable quantum information processing and to quantum foundations. More recently the generalization of these states to three-mode squeezed light has been achieved in the context of quantum teleportation [1] and state sharing [2]. Theories are typically developed in Gaussian or position representations, but we have discovered that all tripartite entangled Gaussians states of these types are in fact su(1,1) coherent states with respect to an intriguing three-boson realization of su(1,1) first noticed by Sebawe Abdalla et al [3]. This symmetry provides insights into the useful properties of these states and suggests ways to generalize theories and applications of multipartite entangled Gaussian states. [1] A. Furusawa et al, Science \textbf{282}, 706 (1998). [2] A. M. Lance et al, Phys. Rev. Lett. \textbf{92}, 177903 (2004). [3] M. Sebawe Abdalla et al, Eur. Phys. J. D \textbf{13}, 423 (2001).
University of Calgary | Presentation | 2007-03-08 | B. C. Sanders, Z. Shaterzadeh-Yazdi, P. Turner | Dangling-bond charge qubit University of Calgary, University of Alberta | Presentation | 2010-05-03 | L. Livadaru, P. Xue, Z. Shaterzadeh-Yazdi, A. G. DiLabio, J. Mutus, L. J. Pitters, B. C. Sanders, R. A. Wolkow | Dangling-bond charge qubit on a silicon surface University of Calgary, University of Alberta | Presentation | 2010-07-23 | B. C. Sanders, L. Livadaru, P. Xue, Z. Shaterzadeh-Yazdi, A. G. DiLabio, J. Mutus, L. J. Pitters, R. A. Wolkow |
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