- Rehovot, HaMerkaz, Israel
Goren Gordon
Weizmann Institute of Science, Neurobiology, Department Member
Research Interests:
The quantum computer game ‘Schrödinger cat and hounds’ is the quantum extension of the well-known classical game fox and hounds. Its main objective is to teach the unique concepts of quantum mechanics in a fun way. ‘Schrödinger cat and... more
The quantum computer game ‘Schrödinger cat and hounds’ is the quantum extension of the well-known classical game fox and hounds. Its main objective is to teach the unique concepts of quantum mechanics in a fun way. ‘Schrödinger cat and hounds’ demonstrates the effects of superposition, destructive and constructive interference, measurements and entanglement. More advanced concepts, like particle–wave duality and decoherence,
Research Interests:
Research Interests: Thermodynamics, Image Processing, Information Theory, Quantum Teleportation, Data Mining, and 32 moreQuantum Information, Light Scattering, Quantum Mechanics, Femtosecond Laser, Numerical Method, Optical Imaging, Quantum entanglement, Cross Correlation, Numerical Simulation, Image Reconstruction, Random Walk, Mathematical Sciences, Physical sciences, Autocorrelation, Quantum Computer, Electromagnetic Field, CHEMICAL SCIENCES, Spatial Coherence, Time Dependent, Quantum Communication, Degeneration, Optical Pumping, Levy Flight, Theoretical Model, Heterojunction Bipolar Transistors, Population dynamic, Molecular Dynamic Simulation, Optical System Design, High energy, Coherent Control, Near Field, and Degree of polarization
Research Interests: Thermodynamics, Image Processing, Information Theory, Quantum Teleportation, Data Mining, and 32 moreQuantum Information, Light Scattering, Quantum Mechanics, Femtosecond Laser, Numerical Method, Optical Imaging, Quantum entanglement, Cross Correlation, Numerical Simulation, Image Reconstruction, Random Walk, Mathematical Sciences, Physical sciences, Autocorrelation, Quantum Computer, Electromagnetic Field, CHEMICAL SCIENCES, Spatial Coherence, Time Dependent, Quantum Communication, Degeneration, Optical Pumping, Levy Flight, Theoretical Model, Heterojunction Bipolar Transistors, Population dynamic, Molecular Dynamic Simulation, Optical System Design, High energy, Coherent Control, Near Field, and Degree of polarization
Research Interests: Thermodynamics, Image Processing, Information Theory, Quantum Teleportation, Data Mining, and 32 moreQuantum Information, Light Scattering, Quantum Mechanics, Femtosecond Laser, Numerical Method, Optical Imaging, Quantum entanglement, Cross Correlation, Numerical Simulation, Image Reconstruction, Random Walk, Mathematical Sciences, Physical sciences, Autocorrelation, Quantum Computer, Electromagnetic Field, CHEMICAL SCIENCES, Spatial Coherence, Time Dependent, Quantum Communication, Degeneration, Optical Pumping, Levy Flight, Theoretical Model, Heterojunction Bipolar Transistors, Population dynamic, Molecular Dynamic Simulation, Optical System Design, High energy, Coherent Control, Near Field, and Degree of polarization
Research Interests: Thermodynamics, Image Processing, Information Theory, Quantum Teleportation, Data Mining, and 32 moreQuantum Information, Light Scattering, Quantum Mechanics, Femtosecond Laser, Numerical Method, Optical Imaging, Quantum entanglement, Cross Correlation, Numerical Simulation, Image Reconstruction, Random Walk, Mathematical Sciences, Physical sciences, Autocorrelation, Quantum Computer, Electromagnetic Field, CHEMICAL SCIENCES, Spatial Coherence, Time Dependent, Quantum Communication, Degeneration, Optical Pumping, Levy Flight, Theoretical Model, Heterojunction Bipolar Transistors, Population dynamic, Molecular Dynamic Simulation, Optical System Design, High energy, Coherent Control, Near Field, and Degree of polarization
Research Interests:
Linguistic complexity is a simple and elegant way of calculating complexity of strings of data. It is based on the concept that the greater the vocabulary one uses, the more complex the data. Until now, it has been used only on... more
Linguistic complexity is a simple and elegant way of calculating complexity of strings of data. It is based on the concept that the greater the vocabulary one uses, the more complex the data. Until now, it has been used only on one-dimensional data, such as DNA and protein sequences and various human language texts. The basic definition can be extended to higher dimensions, thus allowing a practical and simple calculation of linguistic complexity of images, 3D objects and other multi-dimensional data. A simple extension of linguistic complexity is introduced, followed by 2D presentations and a discussion of parametric considerations. An example of linguistic complexity calculations, demonstrating its image processing and medical diagnostic power is presented. The subjects of this paper are patent application pending.
Research Interests:
Research Interests:
We present the principles of universal dynamical control of open quantum systems aimed at optimally suppressing their decoherence. Several basic scenarios of this control are discussed. Our results indicate that very limited knowledge... more
We present the principles of universal dynamical control of open quantum systems aimed at optimally suppressing their decoherence. Several basic scenarios of this control are discussed. Our results indicate that very limited knowledge regarding the system–environment correlation is sufficient to implement control that would suppress decoherence and bring out quantum behavior in complex macroscopic systems that are embedded in thermal noisy environments. In memory of Lorenzo Narducci, friend, colleague, scientist.
Research Interests:
Decoherence is a major obstacle to any practical implementation of quantum information processing. One of the leading strategies to reduce decoherence is dynamical decoupling—the use of an external field to average out the effect of the... more
Decoherence is a major obstacle to any practical implementation of quantum information processing. One of the leading strategies to reduce decoherence is dynamical decoupling—the use of an external field to average out the effect of the environment. The decoherence rate under any control field can be calculated if the spectrum of the coupling to the environment is known. We present a direct measurement of the bath-coupling spectrum in an ensemble of optically trapped ultra-cold atoms, by applying a spectrally narrow-band control field. The measured spectrum follows a Lorentzian shape at low frequencies but exhibits non-monotonic features at higher frequencies due to the oscillatory motion of the atoms in the trap. These features agree with our analytical models and numerical Monte Carlo simulations of the collisional bath. From the inferred bath-coupling spectrum, we predict the performance of some well-known dynamical decoupling sequences. We then apply these sequences in experiment and compare the results to predictions, finding good agreement in the weak-coupling limit. Thus, our work establishes experimentally the validity of the overlap integral formalism and is an important step towards the implementation of an optimal dynamical decoupling sequence for a given measured bath spectrum.
Research Interests:
We study deviations from thermal equilibrium between two-level systems (TLS) and a bath by frequent and brief quantum measurements of the TLS energy-states. The resulting entropy and temperature of both the system and the bath are found... more
We study deviations from thermal equilibrium between two-level systems (TLS) and a bath by frequent and brief quantum measurements of the TLS energy-states. The resulting entropy and temperature of both the system and the bath are found to be completely determined by the measurement rate, and unrelated to what is expected by standard thermodynamical rules that hold for Markovian baths. These anomalies allow for very fast control heating, cooling and state-purification (entropy reduction) of quantum systems much sooner than their thermal equilibration time.
Research Interests:
Quantum two-state systems, known as quantum bits (qubits), are unavoidably in contact with their uncontrolled thermal environment, also known as a macroscopic 'bath'. The higher the temperature of the qubits, the more impure their quantum... more
Quantum two-state systems, known as quantum bits (qubits), are unavoidably in contact with their uncontrolled thermal environment, also known as a macroscopic 'bath'. The higher the temperature of the qubits, the more impure their quantum state and the less useful they are for coherent control or quantum logic operations, hence the desirability of cooling down the qubits as much and as fast as possible, so as to purify their state prior to the desired operation. Yet, the limit on the speed of existing cooling schemes, which are all based on Markovian principles, is either the duration of the qubit equilibration with its bath or the decay time of an auxiliary state to one of the qubit states. Here we pose the conceptual question: can one bypass this existing Markovian limit? We show that highly frequent phase shifts or measurements of the state of thermalized qubits can lead to their ultrafast cooling, within the non-Markov time domain, well before they re-equilibrate with the bath and without resorting to auxiliary states. Alternatively, such operations may lead to the cooling down of the qubit to arbitrarily low temperatures at longer times. These anomalous non-Markov cooling processes stem from the hitherto unfamiliar coherent quantum dynamics of the qubit-bath interaction well within the bath memory time.
Research Interests:
We present and compare stochastic open-loop techniques aimed at controlling quantum coherence in dissipative environments. One approach describes the evolution time as a random non-Gaussian variable. The other implements dynamical control... more
We present and compare stochastic open-loop techniques aimed at controlling quantum coherence in dissipative environments. One approach describes the evolution time as a random non-Gaussian variable. The other implements dynamical control on non-...
Research Interests:
Research Interests:
Research Interests:
We consider single photons propagating along two paths, with the polarization correlated to the path. Two information related aspects of this translational-internal entanglement (TIE) are analyzed: a) Using the polarization to record the... more
We consider single photons propagating along two paths, with the polarization correlated to the path. Two information related aspects of this translational-internal entanglement (TIE) are analyzed: a) Using the polarization to record the path (a "flying detector" scheme), we characterize the tradeoff between path- and phaseinformation. b) We investigate the effects of non-Markovian noise on the two-qubit quantum channel consisting of the photon path and polarization (that are both used to encode information), and suggest noise protection schemes.
Research Interests:
Initialization of quantum logic operations makes it imperative to cool down the information-carrying qubits as much and as fast as possible, so as to purify their state, or at least their ensemble average. Yet, the limit on the speed of... more
Initialization of quantum logic operations makes it imperative to cool down the information-carrying qubits as much and as fast as possible, so as to purify their state, or at least their ensemble average. Yet, the limit on the speed of existing cooling schemes is either the duration of the qubit equilibration with its bath or the decay time of an auxiliary state to one of the qubit states. Here we show that highly-frequent phase-shifts or measurements of the state of thermalized qubits can be designed to affect the qubit-bath entanglement so that the qubits undergo cooling, well before they re-equilibrate with the bath and without resorting to auxiliary states. These processes can be used in principally novel, advantageous, cooling schemes to assist quantum logic operations.
Research Interests:
ABSTRACT