Preparation of pseudo-pure states by line-selective pulses in nuclear magnetic resonance

An alternative method of preparing the pseudo-pure state of a spin system for quantum computation in liquid-state nuclear magnetic resonance (NMR) is demonstrated experimentally. Applying specific line-selective pulses with appropriately chosen flipping angles simultaneously and then a field gradient pulse we acquire straightforwardly all pseudo-pure states for two qubits in a single experiment quite efficiently. The signal intensity from the pseudo-pure state prepared in this way is the same as that of temporal averaging. As an example of an application, a highly structured search algorithm – Hogg's algorithm – is also performed on the pseudo-pure state |0 0 prepared by the method.     

Effect of diatomic molecular properties on binary laser pulse optimizations of quantum gate operations

The importance of the ro-vibrational state energies on the ability to produce high fidelity binary shaped laser pulses for quantum logic gates is investigated. The single frequency 2-qubit ACNOT(1) and double frequency 2-qubit NOT(2) quantum gates are used as test cases to examine this behaviour. A range of diatomics is sampled. The laser pulses are optimized using a genetic algorithm for binary (two amplitude and two phase parameter) variation on a discretized frequency spectrum. The resulting trends in the fidelities were attributed to the intrinsic molecular properties and not the choice of method: a discretized frequency spectrum with genetic algorithm optimization. This is verified by using other common laser pulse optimization methods (including iterative optimal control theory), which result in the same qualitative trends in fidelity. The results differ from other studies that used vibrational state energies only. Moreover, appropriate choice of diatomic (relative ro-vibrational state arrangement) is critical for producing high fidelity optimized quantum logic gates. It is also suggested that global phase alignment imposes a significant restriction on obtaining high fidelity regions within the parameter search space. Overall, this indicates a complexity in the ability to provide appropriate binary laser pulse control of diatomics for molecular quantum computing.     

A simple method for the preparation of pseudopure states in nuclear magnetic resonance quantum information processing

The use of nuclear magnetic resonance (NMR) to carry out quantum information processing (QIP) often requires the preparation, transformation, and detection of pseudopure states. In our previous work, it was shown that the use of pairs of pseudopure states (POPS) as a basis for QIP is very convenient because of the simplicity in experimental execution. It is now further demonstrated that the product of the NMR spectra corresponding to two sets of POPS that share a common pseudopure state has the same peak frequencies as those of the common (single) pseudopure state. Examples of applying two different quantum logic gates to a 5-qubit system are given.     

Pseudopure state of a twelve-spin system

Pseudopure states of a system of twelve interacting spins are experimentally demonstrated. The system is a cluster of dipolar-coupled nuclear spins of fully labeled (13)C(6)-benzene in a liquid crystalline matrix. At present, this is the largest and the most complex composite system where individual quantum states have been addressed.     

Thermal [2 + 2] cycloreversion of a cyclobutane moiety via a biradical reaction

The nature of the Woodward-Hoffmann-forbidden, thermal activated cycloreversion mechanism of cyclobutane has long been the subject of speculation and intense research. We were now able to prove the theoretically postulated biradicalic mechanism directly from radical scavenging reactions and electron paramagnetic resonance (EPR) experiments on [2 + 2] heterodimers of 5-fluoro-1-heptanoyluracil and 7-methoxy-1,1-dimethylnaphthalenon. The dimers show both the "allowed" photochemically as well as the "forbidden" thermally triggered [2 + 2] cycloreversion of the cyclobutane ring. The quantum efficiency of the photochemical cleavage is about 1%. The thermal cycloreversion reaction is independent from solvent and occurs at low activation energies of about 13 kcal/mol, even in the solid state. The radical scavenger and EPR results are further supported by the finding, that the reaction products are solely the educts for the anti-head-to-tail heterodimer. But for the syn-head-to-head heterodimer two additional products are observed, which require a sufficiently stable biradical intermediate to facilitate the required intramolecular rearrangements. Because of the surprisingly high lifetime of the radical species of these heterodimers it was possible to prove the long-discussed biradical mechanism experimentally.     

Spectral implementation of some quantum algorithms by one- and two-dimensional nuclear magnetic resonance

Quantum information processing has been effectively demonstrated on a small number of qubits by nuclear magnetic resonance. An important subroutine in any computing is the readout of the output. "Spectral implementation" originally suggested by Z. L. Madi, R. Bruschweiler, and R. R. Ernst [J. Chem. Phys. 109, 10603 (1999)], provides an elegant method of readout with the use of an extra "observer" qubit. At the end of computation, detection of the observer qubit provides the output via the multiplet structure of its spectrum. In spectral implementation by two-dimensional experiment the observer qubit retains the memory of input state during computation, thereby providing correlated information on input and output, in the same spectrum. Spectral implementation of Grover's search algorithm, approximate quantum counting, a modified version of Berstein-Vazirani problem, and Hogg's algorithm are demonstrated here in three- and four-qubit systems.     

Photophysics of boron difluoride chelates with dihalogenated tetraphenyl-<Emphasis Type="Italic">ms</Emphasis>-azadipyrromethenes

Spectral, luminescent, and photophysical properties of the BF₂ chelates with dichloroand dibromotetraphenyl-ms-azadipyrromethene (derivatives of tetraphenyl-aza-BODIPY) have been studied experimentally and theoretically by quantum chemistry methods. The positions of fluorescence bands, quantum yields, and lifetimes were measured experimentally. The rate constants of intramolecular photophysical processes have been estimated, and the quantum yields of fluorescence and phosphorescence and the lifetimes of excited states have been calculated. Complete energy schemes of electronically excited states and photophysical processes in the molecules of the compounds under study have been built on the basis of calculation results. The decrease in the fluorescence quantum yields upon excitation into the second absorption band and the absence of the phosphorescence of the chelates have been explained.     

Study of the absorption and emission spectroscopy of "A-B" type photosensitive compounds including two-photon chromophore and benzophenone moiety

"A-B" type photosensitive compounds including two-photon chromophore and benzophenone moiety have been designed, synthesized and characterized. The UV-vis absorption and fluorescence emission of the compounds have been extensively studied in various solvents. The results show that the absorption of "A-B" type compounds displays obvious double absorption bands, one of which at short-wavelength is related to the benzophenone moiety, the other at long-wavelength is mainly contributed by chromophore. The emission of "A-B" type compounds at 500-700nm shows an "unexpected" blue-shift comparing with that of the sole chromophore. The photosensitive compounds with amino group display strong emission in apolar solvents and have a low fluorescence quantum yields in polar solvents. In contrast, the compounds without amino group exhibit strong fluorescence emission in polar solvents, and low fluorescence quantum yields in apolar solvents. The fluorescence quantum yields of "A-B" type compounds are higher than those of the sole chromophore. The discoveries suggest that charge redistribution induced by the introduction of benzophenone moiety plays a key role on the absorption and emission spectroscopy.     

Implementation of ab initio multiple spawning in the Molpro quantum chemistry package

The ab initio multiple spawning (AIMS) method has been developed to solve the electronic and nuclear Schrodinger equations simultaneously for application to photochemical reaction dynamics. We discuss some details of the implementation of AIMS in the Molpro program package. A few aspects of the implementation are highlighted, including a new multiple timescale integrator and a scheme for solving the coupled-perturbed multiconfiguration self-consistent field (CP-MCSCF) equations in the context of ab initio molecular dynamics. The implementation is very efficient and we demonstrate calculations on the photoisomerization of ethylene using more than 5000 trajectory basis functions. We have included the capability for hybrid quantum mechanics/molecular mechanics (QM/MM) simulations within AIMS, and we investigate the role of an argon solvent in the photoisomerization of ethylene. Somewhat surprisingly, the surrounding argon has little effect on the timescale of non-adiabatic quenching in ethylene.     

Visualization of electron correlation in autoionizing states above the 3p threshold in magnesium

The conditional probability density has been calculated for a number of autoionizing states (AIS) in Mg above the 3p threshold. The correlation in such high energy AIS has not been extensively studied and provides insight into the rovibrator behavior of two-electron atoms. The calculations have been done by configuration interaction (CI) with a B-spline basis. This allows for the simultaneous study of the effects of electron correlation and the widths and angular distribution of photoelectrons in multiphoton ionization. The states have been assigned approximate vibrational quantum numbers, and a correlation between the approximate quantum numbers and the photoelectron distribution is observed. Probability distribution for one electron when the other, represented by the small spike, is at its most probable distance from the nucleus. This is a distribution for the doubly-excited 1S(e) state commonly labeled as the 4s2 state.     

Reconstructing NMR spectra of "invisible" excited protein states using HSQC and HMQC experiments

Carr-Purcell-Meiboom-Gill (CPMG) relaxation measurements employing trains of 180 degrees pulses with variable pulse spacing provide valuable information about systems undergoing millisecond-time-scale chemical exchange. Fits of the CPMG relaxation dispersion profiles yield rates of interconversion, relative populations, and absolute values of chemical shift differences between the exchanging states, |Deltaomega|. It is shown that the sign of Deltaomega that is lacking from CPMG dispersion experiments can be obtained from a comparison of chemical shifts in the indirect dimensions in either a pair of HSQC (heteronuclear single quantum coherence) spectra recorded at different magnetic fields or HSQC and HMQC (heteronuclear multiple quantum coherence) spectra obtained at a single field. The methodology is illustrated with an application to a cavity mutant of T4 lysozyme in which a leucine at position 99 has been replaced by an alanine, giving rise to exchange between ground state and excited state conformations with a rate on the order of 1450 s(-1) at 25 degrees C.     

"GaI": a versatile reagent for the synthetic chemist

The current renaissance in main group chemistry has been fuelled by the remarkable array of fundamentally interesting yet synthetically applicable low oxidation state p-block compounds that have appeared over the last decade. Their syntheses generally require the ready availability of low oxidation state element halide precursors. In the case of gallium this is provided by the simple to prepare reagent, "GaI", which since it was first reported in 1990, has been utilised in areas as varied as organic synthesis and gallium cluster construction. This article tracks the history of this extraordinary material and highlights its synthetic diversity; hopefully allowing the reader to envisage its application to aspects of their own research fields.     

Strange Kinetics of the C(2)H(6) + CN Reaction Explained

In this paper, we employ state of the art quantum chemical and transition state theory methods in making a priori kinetic predictions for the abstraction reaction of CN with ethane. This reaction, which has been studied experimentally over an exceptionally broad range of temperature (25-1140 K), exhibits an unusually strong minimum in the rate constant near 200 K. The present theoretical predictions, which are based on a careful consideration of the two distinct transition state regimes, quantitatively reproduce the measured rate constant over the full range of temperature, with no adjustable parameters. At low temperatures, the rate-determining step for such radical-molecule reactions involves the formation of a weakly bound van der Waals complex. At higher temperatures, the passage over a subthreshold saddle point on the potential energy surface, related to the formation and dissolution of chemical bonds, becomes the rate-determining step. The calculations illustrate the changing importance of the two transition states with increasing temperature and also clearly demonstrate the need for including accurate treatments of both transition states. The present two transition state model is an extension of that employed in our previous work on the C2H4 + OH reaction [J. Phys. Chem. A 2005, 109, 6031]. It incorporates direct ab initio evaluations of the potential in classical phase space integral based calculations of the fully coupled anharmonic transition state partition functions for both transition states. Comparisons with more standard rigid-rotor harmonic oscillator representations for the "inner" transition state illustrate the importance of variational, anharmonic, and nonrigid effects. The effects of tunneling through the "inner" saddle point and of dynamical correlations between the two transition states are also discussed. A study of the kinetic isotope effect provides a further test for the present two transition state model.     

Ultrafast radiationless relaxation of a pyrromethenone

Radiationless processes of a pyrromethenone after excitation are described by a Langevin simulation method. It is shown, that this model can accurately reproduce experimentally observed values of the lifetime of the S₁(Z) state, the ground state recovery time, and the quantum yield of the Z → E configurational change.     

Phase control in the vibrational qubit

In order to use molecular vibrations for quantum information processing one should be able to shape infrared laser pulses so that they can play the role of accurate quantum gates and drive the required vibrational transitions. In this paper we studied theoretically how the relative phase of the optimized transitions affects accuracy of the quantum gates in such a system. Optimal control theory and numerical propagation of laser-driven vibrational wave packets were employed. The dependencies observed for one-qubit gates NOT, pi-rotation, and Hadamard transform are qualitatively similar to each other. The results of the numerical tests agree well with the analytical predictions.     

Bidirectional "ping-pong" energy transfer and 3000-fold lifetime enhancement in a Re(I) charge transfer complex

The synthesis and photophysics of a new Re(I)-carbonyl diimine complex, Re(PNI-phen)(CO)(3)Cl, where the PNI-phen is N-(1,10-phenanthroline)-4-(1-piperidinyl)naphthalene-1,8-dicarboximide is reported. The metal-to-ligand charge transfer (MLCT) emission lifetime was increased approximately 3000-fold at room temperature with respect to that of the model complex [Re(phen)(CO)(3)Cl] as a result of thermal equilibrium between the emissive (3)MLCT state and a long-lived triplet ligand-centered ((3)LC) state on the PNI chromophore. This represents the longest excited state lifetime (τ = 651 μs) that has ever been observed for a Re(I)-based CT photoluminescence at room temperature. The energy transfer processes and the associated rate constants leading to the establishment of the excited state equilibrium were elucidated by a powerful combination of three techniques (transient visible and infrared (IR) absorption and photoluminescence), each applied from ultrafast to the micro/milliseconds time scale. The MLCT excited state was monitored by transient IR using CO vibrations through time intervals where the corresponding signals obtained in conventional visible transient absorption were completely obscured by overlap with strong transients originating from the pendant PNI chromophore. Following initial excitation of the (1)LC state on the PNI chromophore, energy is transferred to form the MLCT state with a time constant of 45 ps, a value confirmed in all three measurement domains within experimental error. Although transient spectroscopy confirms the production of the (3)MLCT state on ultrafast time scales, Fo?rster resonance energy transfer calculations using the spectral properties of the two chromophores support initial singlet transfer from (1)PNI* to produce the (1)MLCT state by the agreement with the experimentally observed energy transfer time constant and efficiency. Intersystem crossing from the (1)MLCT to the (3)MLCT excited state is believed to be extremely fast and was not resolved with the current experiments. Finally, triplet energy was transferred from the (3)MLCT to the PNI-centered (3)LC state in less than 15 ns, ultimately achieving equilibrium between the two excited states. Subsequent relaxation to the ground state occurred via emission resulting from thermal population of the (3)MLCT state with a resultant lifetime of 651 μs. The title chromophore represents an interesting example of "ping-pong" energy transfer wherein photon excitation first migrates away from the initially prepared (1)PNI* excited state and then ultimately returns to this moiety as a long-lived excited triplet which disposes of its energy by equilibrating with the photoluminescent Re(I) MLCT excited state.     

Theoretical investigation of the "CO in"-"CO out" isomerization in a [2Fe-2S] ferredoxin: free energy profiles and redox states

This paper reports on extensive molecular dynamics simulations (about 40 ns in total) in both the reduced and the oxidized states of Ferredoxin from Cyanobacterium Anabaena PCC7119. These calculations have provided us with the free energy profile of the phi(47) backbone angle which controls the "CO in" to "CO out" transition of Cys46 in the reduced and oxidized Fd7119. Our main motivation has been to identify the time scales involved in the reduction of Fd and single out the amino acid residues crucially affecting the conformational change and, thus, electron transfer. The free energy profiles obtained in this study are relevant to electron transfers in the PSI/Fd7119 and Fd7119/FNR complexes. Our findings based on hydrated ferredoxin simulations are that activated processes are to occur in the protein during electron transfer to and from ferredoxin. The relative stability and the activation barrier of the "CO in" to "CO out" transition can be modulated by the distance between the Ser47 and the Glu94 residues. In our calculations, for short distances, the "CO in" state is favored in the reduced form, whereas for large distances, the "CO out" state becomes increasingly favored. Accordingly, conformational changes in Fd7119 when bound to PSI or FNR can have crucial effects on the kinetics of the electron transfer. Our simulations also show that the hydrogen bond between between Ser47(OG) and Cys46(O) is essential to lock in the "CO out" state. This finding explains why only the Ser47Thr Fd7119 mutant sustains electron transfer activity, as only residues serine and threonine can form a specific hydrogen bond with Cys46(O). Finally, our simulations predict that Phe65 has a large probability of being in close contact with the Cys46(O) at the top of the conformational free energy barrier. This carbonyl/phenyl ring interaction can then facilitate the de-localization of the Fd's electron toward the Pi orbitals of Phe65 aromatic ring which is thought to be crucial to the Fd7119/FNR electron transfer