Universal Time-Dependent Control Scheme for Realizing Arbitrary Linear Bosonic Transformations

Abstract

We study the implementation of arbitrary excitation-conserving linear transformations between two sets of N stationary bosonic modes, which are connected through a photonic quantum channel. By controlling the individual couplings between the modes and the channel, an initial N-partite quantum state in register A can be released as a multiphoton wave packet and, successively, be reabsorbed in register B. Here we prove that there exists a set of control pulses that implement this transfer with arbitrarily high fidelity and, simultaneously, realize a prespecified N × N unitary transformation between the two sets of modes. Moreover, we provide a numerical algorithm for constructing these control pulses and discuss the scaling and robustness of this protocol in terms of several illustrative examples. By being purely control-based and not relying on any adaptations of the underlying hardware, the presented scheme is extremely flexible and can find widespread applications, for example, for boson-sampling experiments, multiqubit state transfer protocols, or in continuous-variable quantum computing architectures.

Chiral quantum optics in the bulk of photonic quantum Hall systems

“…In these systems, topological features are exploited to realize complete chiral quantum optical setups, coupling their topological chiral edge channels to localized quantum emitters (or qubits) [24][25][26]. In parallel to such intense experimental efforts, new innovative theoretical proposals are constantly made to exploit these devices for new technological applications [27][28][29][30][31][32][33][34][35].…”

Fast quantum state transfer and entanglement preparation in strongly coupled bosonic systems

“…For example, it plays a crucial role in the problem of Bose samplings [1][2][3][4][5], which is of particular interest in the study of near-term platform for photonic quantum computing [6]. The linear bosonic transformation can be effectively realized by optical beam splitters and wave plates in optical systems under the protocol raised by Knill, Laflamme and Milburn [7][8][9], or by controllable pulse manipulation in superconductor-waveguide systems [10][11][12][13][14][15]. Experimental progresses in this direction have facilitated the development of various quantum information tasks, including quantum state transfer (QST), entanglement preparation (EP) and entanglement distribution [12][13][14][15][16][17].…”

“…As an important step of quantum information processing, QST aims to transfer an arbitrary quantum state from the sender side to the receiver side with high fidelity and fast speed. Recently, to embrace the noisy intermediate-scale quantum era for quantum internet frameworks [15,[18][19][20][21], much effort has been made to implement QST tasks in various physical systems, including atom-cavity systems [10,[21][22][23], superconducting circuits [10][11][12][13][14]24], photonic systems [25][26][27], mechanical oscillators [28], opto-mechanical cavities [16,[29][30][31][32][33] and so on [17,[34][35][36][37]. Meanwhile, the generation of entangled states, as the first and fundamental step to realize quantum algorithms and manifest the so-called quantum supremacy, has been widely studied [12,14,[38][39][40][41].…”