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Full-Text Articles in Physics
Complementary Weak-Value Amplification With Concatenated Postselections, Gerardo I. Viza, Julián Martínez-Rincón, Wei-Tao Liu, John C. Howell
Complementary Weak-Value Amplification With Concatenated Postselections, Gerardo I. Viza, Julián Martínez-Rincón, Wei-Tao Liu, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
We measure a transverse momentum kick in a Sagnac interferometer using weak-value amplification with two postselections. The first postselection is controlled by a polarization-dependent phase mismatch between both paths of the interferometer, and the second postselection is controlled by a polarizer at the exit port. By monitoring the dark port of the interferometer, we study the complementary amplification of the concatenated postselections, where the polarization extinction ratio is greater than the contrast of the spatial interference. In this case, we find an improvement in the amplification of the signal of interest by introducing a second postselection to the system.
Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking, Daniel J. Lum, John C. Howell, M. S. Allman, Thomas Gerrits, Varun B. Verma, Sae Woo Nam, Cosmo Lupo, Seth Lloyd
Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking, Daniel J. Lum, John C. Howell, M. S. Allman, Thomas Gerrits, Varun B. Verma, Sae Woo Nam, Cosmo Lupo, Seth Lloyd
Mathematics, Physics, and Computer Science Faculty Articles and Research
Shannon proved in 1949 that information-theoretic-secure encryption is possible if the encryption key is used only once, is random, and is at least as long as the message itself. Notwithstanding, when information is encoded in a quantum system, the phenomenon of quantum data locking allows one to encrypt a message with a shorter key and still provide information-theoretic security. We present one of the first feasible experimental demonstrations of quantum data locking for direct communication and propose a scheme for a quantum enigma machine that encrypts 6 bits per photon (containing messages, new encryption keys, and forward error correction bits) …
Weak-Value Amplification Of The Fast-Light Effect In Rubidium Vapor, Mohammad Mirhosseini, Gerardo I. Viza, Omar S. Magaña-Loaiza, Mehul Malik, John C. Howell, Robert W. Boyd
Weak-Value Amplification Of The Fast-Light Effect In Rubidium Vapor, Mohammad Mirhosseini, Gerardo I. Viza, Omar S. Magaña-Loaiza, Mehul Malik, John C. Howell, Robert W. Boyd
Mathematics, Physics, and Computer Science Faculty Articles and Research
We use weak-value amplification to enhance the polarization-sensitive fast-light effect from induced Raman absorption in hot rubidium vapor. We experimentally demonstrate that projecting the output signal into an appropriate polarization state enables a pulse advancement of 4.2μs, which is more than 15 times larger than that naturally caused by dispersion. More significantly, we show that combining weak-value amplification with the dispersive response of an atomic system provides a clear advantage in terms of the maximum pulse advance achievable for a given value of loss. This technique has potential applications for designing novel quantum-information-processing gates and optical buffers for telecommunication systems.
Cross-Phase Modulation Enhancement Via A Resonating Cavity: Semiclassical Description, Julián Martínez-Rincón, John C. Howell
Cross-Phase Modulation Enhancement Via A Resonating Cavity: Semiclassical Description, Julián Martínez-Rincón, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
We evaluate the advantages of performing cross-phase modulation (XPM) on a very-far-off-resonance atomic system. We consider a ladder system with a weak (few-photon level) control coherent field imparting a conditional nonlinear phase shift on a probe beam. We find that by coupling to an optical resonator, the optimal XPM is enhanced proportional to the finesse of the resonator by a factor of ��/4��. We present a semiclassical description of the system and show that the phenomenon is optimal in the self-defined condition of off-resonance effective cooperativity equal to one.
Digital Integral Cloaking, Joseph S. Choi, John C. Howell
Digital Integral Cloaking, Joseph S. Choi, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
Toward the goal of achieving broadband and omnidirectional invisibility, we propose a method for practical invisibility cloaking. We call this “digital cloaking,” where space, angle, spectrum, and phase are discretized. Experimentally, we demonstrate a two-dimensional (2D) planar, ray optics, digital cloak by using lenticular lenses, similar to “integral imaging” for three-dimensional (3D) displays. Theoretically, this can be extended to a good approximation of an “ideal” 3D cloak. With continuing improvements in commercial digital technology, the resolution limitations of a digital cloak can be minimized.
Compressively Characterizing High-Dimensional Entangled States With Complementary, Random Filtering, Gregory A. Howland, Samuel H. Knarr, James Schneeloch, Daniel J. Lum, John C. Howell
Compressively Characterizing High-Dimensional Entangled States With Complementary, Random Filtering, Gregory A. Howland, Samuel H. Knarr, James Schneeloch, Daniel J. Lum, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
The resources needed to conventionally characterize a quantum system are overwhelmingly large for high-dimensional systems. This obstacle may be overcome by abandoning traditional cornerstones of quantum measurement, such as general quantum states, strong projective measurement, and assumption-free characterization. Following this reasoning, we demonstrate an efficient technique for characterizing high-dimensional, spatial entanglement with one set of measurements. We recover sharp distributions with local, random filtering of the same ensemble in momentum followed by position—something the uncertainty principle forbids for projective measurements. Exploiting the expectation that entangled signals are highly correlated, we use fewer than 5000 measurements to characterize a 65,536-dimensional state. …
Quantum And Classical Optics–Emerging Links, Joseph H. Eberly, Xiao-Feng Qian, Asma Al Qasimi, Hazrat Ali, M. A. Alonso, R Gutiérrez-Cuevas, Bethany Little, John C. Howell, Tanya Malhotra, A. N. Vamivakas
Quantum And Classical Optics–Emerging Links, Joseph H. Eberly, Xiao-Feng Qian, Asma Al Qasimi, Hazrat Ali, M. A. Alonso, R Gutiérrez-Cuevas, Bethany Little, John C. Howell, Tanya Malhotra, A. N. Vamivakas
Mathematics, Physics, and Computer Science Faculty Articles and Research
Quantum optics and classical optics are linked in ways that are becoming apparent as a result of numerous recent detailed examinations of the relationships that elementary notions of optics have with each other. These elementary notions include interference, polarization, coherence, complementarity and entanglement. All of them are present in both quantum and classical optics. They have historic origins, and at least partly for this reason not all of them have quantitative definitions that are universally accepted. This makes further investigation into their engagement in optics very desirable. We pay particular attention to effects that arise from the mere co-existence of …
Introduction To The Transverse Spatial Correlations In Spontaneous Parametric Down-Conversion Through The Biphoton Birth Zone, James Schneeloch, John C. Howell
Introduction To The Transverse Spatial Correlations In Spontaneous Parametric Down-Conversion Through The Biphoton Birth Zone, James Schneeloch, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
As a tutorial to the spatial aspects of spontaneous parametric downconversion (SPDC), we present a detailed first-principles derivation of the transverse correlation width of photon pairs in degenerate collinear SPDC. This width defines the size of a biphoton birth zone, the region where the signal and idler photons are likely to be found when conditioning on the position of the destroyed pump photon. Along the way, we discuss the quantum-optical calculation of the amplitude for the SPDC process, as well as its simplified form for nearly collinear degenerate phase matching. Following this, we show how this biphoton amplitude can be …
Can Anomalous Amplification Be Attained Without Postselection?, Julián Martínez-Rincón, Wei-Tao Liu, Gerardo I. Viza, John C. Howell
Can Anomalous Amplification Be Attained Without Postselection?, Julián Martínez-Rincón, Wei-Tao Liu, Gerardo I. Viza, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
We present a parameter estimation technique based on performing joint measurements of a weak interaction away from the weak-value-amplification approximation. Two detectors are used to collect full statistics of the correlations between two weakly entangled degrees of freedom. Without discarding of data, the protocol resembles the anomalous amplification of an imaginary-weak-value-like response. The amplification is induced in the difference signal of both detectors allowing robustness to different sources of technical noise, and offering in addition the advantages of balanced signals for precision metrology. All of the Fisher information about the parameter of interest is collected. A tunable phase controls the …
Position-Momentum Bell Nonlocality With Entangled Photon Pairs, James Schneeloch, Samuel H. Knarr, Daniel J. Lum, John C. Howell
Position-Momentum Bell Nonlocality With Entangled Photon Pairs, James Schneeloch, Samuel H. Knarr, Daniel J. Lum, John C. Howell
Mathematics, Physics, and Computer Science Faculty Articles and Research
Witnessing continuous-variable Bell nonlocality is a challenging endeavor, but Bell himself showed how one might demonstrate this nonlocality. Although Bell nearly showed a violation using the Clauser-Horne-Shimony-Holt (CHSH) inequality with sign-binned position-momentum statistics of entangled pairs of particles measured at different times, his demonstration is subject to approximations not realizable in a laboratory setting. Moreover, he does not give a quantitative estimation of the maximum achievable violation for the wave function he considers. In this article, we show how his strategy can be reimagined using the transverse positions and momenta of entangled photon pairs measured at different propagation distances, and …