Quantum gates by inverse engineering of a Hamiltonian

Abstract

Inverse engineering of Hamiltonian (IEH) from an evolution operator is a useful technique for protocol of quantum control with potential applications in quantum information processing. In this paper we introduce a particular protocol to perform IEH and we show how this scheme can be used for implementing a set of quantum gates by using minimal quantum resources (such as entanglement, interactions between more than two quits or auxiliary quits). Remarkably, while previous protocols request three-quits interactions and/or auxiliary quits for implementing such gates, our protocol requires just two-qubit interactions and no auxiliary qubits. By using this approach, we can obtain a large class of Hamiltonians that allow us to implement single and two-quit gates necessary to quantum computation. To conclude this article, we analyze the performance of our scheme against systematic errors related to amplitude noise, where we show that the free parameters introduced in our scheme can be useful for enhancing the robustness of the protocol against such errors.

Please, see published version (V4): 14 pages, 2 figures

References in corpus (9)

• Superconducting Circuits and Quantum Information
• Fast and noise-resistant implementation of quantum phase gates and creation of quantum entangled states
• Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
• Shortcuts to adiabatic passage for fast generation of three-atom singlet state by transitionless quantum driving
• Reverse engineering of a Hamiltonian by designing the evolution operators
• Generalized Shortcuts to Adiabaticity and Enhanced Robustness Against Decoherence
• High Resolution non-Markovianity in NMR
• Robust state preparation in quantum simulations of Dirac dynamics
• Quantum gates by inverse engineering of a Hamiltonian

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