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Physics

Targeting Single Qubits

Anonymous

Published Mar 12, 2015• 0 citations
Publisher
DOI
10.1103/physics.8.s31

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The amplification of quantum information carried by a single quantum excitation is a recurring challenge across diverse quantum platforms. The coupling between a single qubit and a mesoscopic ensemble of spins, for example, can be leveraged to realize non-destructive detection of the qubit state. However, realizing robust couplings between such systems is experimentally challenging and typically requires programmable quantum gates or native long-range interactions. Here, we introduce a platform that couples a single qubit, encoded in the ground-to-Rydberg transition of a control atom, to a Rydberg-dressed target ensemble of ground-state atoms trapped in an optical lattice. We show that the state of the control qubit can be coherently mapped onto the ensemble via a qubit-controlled collective phase shift. By Rydberg-dressing the ensemble, the controlled phase shift per target atom becomes independent of the number of target atoms, making the protocol intrinsically insensitive to atom-number fluctuations and atom loss, which are the dominant experimental imperfections in our system. Exploiting the collective response of up to eight target spins, we demonstrate the efficacy of the scheme by realizing non-destructive detection of a single Rydberg excitation with a state-assignment fidelity of F=99.81−1.47+0.17 %\mathcal{F} = 99.81^{+0.17}_{-1.47}\,\%F=99.81−1.47+0.17​%. Our approach demonstrates the key ingredients for high-fidelity transfer of quantum information from a single qubit to a mesoscopic ensemble, opening a route to non-destructive mid-circuit readout of Rydberg states and to efficient interfaces between single qubits and photonic modes.
We report the experimental demonstration of a quantum teleportation protocol with a semiconductor single photon source. Two qubits, a target and an ancilla, each defined by a single photon occupying two optical modes (dual-rail qubit), were generated independently by the single photon source. Upon measurement of two modes from different qubits and postselection, the state of the two remaining modes was found to reproduce the state of the target qubit. In particular, the coherence between the target qubit modes was transferred to the output modes to a large extent. The observed fidelity is 80%, in agreement with the residual distinguishability between consecutive photons from the source. An improved version of this teleportation scheme using more ancillas is the building block of the recent Knill, Laflamme, and Milburn proposal for efficient linear optics quantum computation.
A central task in quantum information science is state certification: testing whether an unknown state is ε1ε_1ε1​-close to a fixed target state, or ε2ε_2ε2​-far. Recent work has shown that surprisingly simple measurement protocols--comprising only single-qubit measurements--suffice to certify arbitrary nnn-qubit states [Huang, Preskill, Soleimanifar '25; Gupta, He, O'Donnell '25]. However, these certification protocols are not robust: rather than allowing constant ε1ε_1ε1​, they can only positively certify states within ε1=O(1/n)ε_1=O(1/n)ε1​=O(1/n) trace distance of the target. In many experimental settings, the appropriate error tolerance is constant as the system size grows, so this lack of robustness renders existing tests inapplicable at scale, no matter how many times the test is repeated. Here we present robust certification protocols based on few-qubit measurements that apply to all but a O(2−n)O(2^{-n})O(2−n)-fraction of pure target states. Our first protocol achieves constant robustness, i.e. ε1=Θ(1)ε_1=Θ(1)ε1​=Θ(1), using a single O(log⁡n)O(\log n)O(logn)-qubit measurement along with single-qubit measurements in the ZZZ or XXX basis on the other qubits. As a corollary of its robustness, this protocol also achieves constant (in nnn) copy complexity, which is optimal. Our second protocol uses exclusively single-qubit measurements and is nearly robust: ε1=Ω(1/log⁡n)ε_1=Ω(1/\log n)ε1​=Ω(1/logn). Our tests are based on a new uncertainty principle for conditional fidelities, which may be of independent interest.