Symmetric Rydberg controlled- Z gates with adiabatic pulses

Single Gaussian temporal pulse modulated controlled-Z gate of neutral atoms under symmetrically optical pumping

“…To solve this problem, Saffman et al designed a "STIRAP-inspired" C z gate with a dynamically accumulated phase via globally optimized pulses shape. This gate can reach a high fidelity F = 0.997 within 1 µs for cesium atoms in the absence of errors arising from laser noise [80,83]. Nevertheless, as the author pointed out in the article, their scheme has higher sensitivity to in- tensity variations compared with the standard protocol with constant-amplitude pulses.…”

“…In fact, as a well-known time-dependent pulse modulation technology, the adiabatic techniques [70], such as stimulated Raman adiabatic passage (STIRAP) and adiabatic rapid passage (ARP), have long been widely applied to neutral-atom system within the Rydberg blockade region to improve the robustness against the fluctuation of parameter and reduce the requirement of the strong Rydberg interactions [66,[71][72][73][74][75][76][77][78][79][80][81][82]. The types of phase accumulation during adiabatic evolution can be roughly divided into geometric phases [71,77,78] and dynamic phases [73,80].…”

“…In fact, as a well-known time-dependent pulse modulation technology, the adiabatic techniques [70], such as stimulated Raman adiabatic passage (STIRAP) and adiabatic rapid passage (ARP), have long been widely applied to neutral-atom system within the Rydberg blockade region to improve the robustness against the fluctuation of parameter and reduce the requirement of the strong Rydberg interactions [66,[71][72][73][74][75][76][77][78][79][80][81][82]. The types of phase accumulation during adiabatic evolution can be roughly divided into geometric phases [71,77,78] and dynamic phases [73,80]. Early scheme put forward by Møller et al [71] successfully acquired a geometric phase by applying two STIRAP pulse in sequence under Rydberg blockade, and then Bhaktavatsala et al modified the scheme into an intermediate Rydberg interaction regime with two STIRAP pulses applied simultaneously [77].…”

“…Inspired by the work of Saffman et al [80] and the protocols with single modulated driving pulse [61,64], we here propose an improved adiabatic scheme to realize the standard C z gate for Rydberg atoms. By symmetrically driving atoms with a single-modulated Gaussian pulse of blue detuned to the transition between ground state and the intermediate state, and a constant-amplitude pulse that red detuned to the transition between the intermediate state and the excited Rydberg state, we can acquire a dynamical phase factor of π accumulated on logic qubit state |11 alone within the Rydberg blockade regime.…”

Distinguishment of Greenberger–Horne–Zeilinger States in Rydberg Atoms via Noncyclic Geometric Quantum Computation

“…Rydberg blockade has been demonstrated experimentally, [46,47] and employed to construct quantum gate [48][49][50][51][52][53][54] and generate quantum entanglement. [55,56] Moreover, recent theoretical works [57][58][59][60][61][62][63][64][65] and experimental progress [66][67][68][69][70][71][72][73][74][75] have indicated the great application value of Rydberg atoms in QIP. These studies lay a foundation for quantum computation based on Rydberg atoms.…”