Scalable uniform construction of highly-conditional quantum gates

Abstract

We present a scalable uniform technique for construction of highly conditional C${}^n$-NOT quantum gates of trapped ion qubits, such as the Toffoli gate, without using ancilla states and circuits of an exorbitant number of concatenated one- and two-qubit gates. Apart from the initial dressing of the internal qubit states with vibrational phonons and the final restoration of the phonon ground state, our technique requires the application of just a single composite pulse on the target qubit and is applicable both in and outside the Lamb-Dicke regime. We design special narrowband composite pulses, which suppress all transitions but the conditional transition of the target qubit; moreover, these composite pulses significantly improve the spatial addressing selectivity.

References in corpus (5)

• 14-qubit entanglement: creation and coherence
• Realization of the quantum Toffoli gate with trapped ions
• High-fidelity local addressing of trapped ions and atoms by composite sequences of laser pulses
• Quantum Walks, Quantum Gates and Quantum Computers
• A simple trapped-ion architecture for high-fidelity Toffoli gates

Cited by in corpus (9)

• Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
• Linear-Depth Quantum Circuits for n-qubit Toffoli gates with no Ancilla
• Highly efficient broadband conversion of light polarization by composite retarders
• Dynamical suppression of unwanted transition paths in multistate quantum systems
• Efficient construction of three- and four-qubit quantum gates by global entangling gates
• Ultrahigh-fidelity composite rotational quantum gates
• Arbitrarily accurate passband composite pulses for dynamical suppression of amplitude noise
• Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
• Arbitrarily accurate twin composite $\pi$ pulse sequences