2015
DOI: 10.1103/physrevlett.115.137002
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Cavity State Manipulation Using Photon-Number Selective Phase Gates

Abstract: The large available Hilbert space and high coherence of cavity resonators makes these systems an interesting resource for storing encoded quantum bits. To perform a quantum gate on this encoded information, however, complex nonlinear operations must be applied to the many levels of the oscillator simultaneously. In this work, we introduce the Selective Number-dependent Arbitrary Phase (SNAP) gate, which imparts a different phase to each Fock state component using an off-resonantly coupled qubit. We show that t… Show more

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Cited by 175 publications
(200 citation statements)
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“…T 1 , T 2 can be measured directly by monitoring the time evolution of the resonator after generating the Fock state |1 or the superposition state (|0 + |1 ) / √ 2, respectively. In our cQED system, arbitrary Fock states and their superpositions can be generated in the resonator by a combination of appropriately chosen cavity mode displacements and number-state selective phase gates on the transmon, following the prescription from Heeres, et al 37 ( Fig. 4a).…”
Section: Quantum Memory Characterization a Relaxation And Dephasingmentioning
confidence: 99%
“…T 1 , T 2 can be measured directly by monitoring the time evolution of the resonator after generating the Fock state |1 or the superposition state (|0 + |1 ) / √ 2, respectively. In our cQED system, arbitrary Fock states and their superpositions can be generated in the resonator by a combination of appropriately chosen cavity mode displacements and number-state selective phase gates on the transmon, following the prescription from Heeres, et al 37 ( Fig. 4a).…”
Section: Quantum Memory Characterization a Relaxation And Dephasingmentioning
confidence: 99%
“…The strong dispersive coupling of a transmon qubit to a high-Q cavity mode [32] provides universal controllability of the state of the quantum harmonic oscillator modeling the cavity mode [33,34]. This controllability has been experimentally illustrated with circuit QED setups [24,35]. Such a coupling enables us to prepare the probe field in a cat state and to perform the CNOT gates U A and U B of Eq.…”
Section: Experimental Considerationsmentioning
confidence: 99%
“…In contrast, for continuous variable (CV) systems that also play an important role in quantum information, the standard techniques in use today are decades old, namely homodyne measurement [8,9] for optical photons and direct Wigner function measurement [10][11][12] for cavity QED. With the rapid development in CV quantum information processing, ranging from arbitrary state preparation [13] to universal quantum control [14,15] and from engineered dissipation [16,17] to quantum error correction [18,19], a large dimension of Hilbert space can be coherently controlled in experiments [12,20]. However, homodyne measurement might not be immediately applicable due to intrinsic nonlinearity preventing applying a very large displacement in cavity QED, and Wigner function measurement requires intensive data collection [20].…”
Section: Introductionmentioning
confidence: 99%