Revealing the nonlocal coherent nature of Majorana devices from dissipative teleportation

Abstract

The non-local coherent nature of the Majorana devices is one of the key factors for realizing decoherence-free topological qubits. Direct observation of this coherent nature could provide a first-step benchmarking scheme to validate Majorana qubit quality. We propose a simple transport scheme with a Majorana island device along with a dissipative environment in the electrodes. We found that the dissipative environment renormalizes the quantum transport in significant different ways: As reducing temperature, while the conductance for Majorana coherent teleportation increases, all other incoherent signals are strongly suppressed due to dissipation. This special conductance scaling behavior is a clear benchmark to reveal the non-local coherent nature of Majorana devices.Introduction-. The realization of Majorana zero modes (MZMs) [1,2] provides a promising platform to study novel fundamental physics, e.g. non-Abelian braiding statistics [3][4][5][6], and has potential applications in quantum information processing and topological quantum computation [6,7]. Many proposals for realizing MZMs in topological superconductors (SCs) have been put forward [8][9][10][11][12][13][14][15], and lead to recent experimental progress in the realization and detection of MZM in both one-dimensional [16][17][18][19][20][21][22][23][24][25][26][27] and two-dimensional platforms [28][29][30][31][32][33][34]. The quantized Majorana conductance at 2e 2 /h, observed in nanowire devices [27], closes one chapter in tunneling spectroscopy based on the simplest device set-ups. Additionally, some clues of Majorana conductance plateau were also shown in the vortex core of topological SC [35,36]. Those experimental observations are gearing up for next-step discoveries [37] towards the realization of non-Abelian braiding experiments and Majorana qubits.

Large Andreev bound state zero bias peaks in a weakly dissipative environment

“…Our result shows that weak dissipation strength (R film ∼ 2.7 kΩ) can not suppress ABS-induced ZBPs, therefore sets a lower bar on dissipation strength for future MZM devices [50]. For Majorana or quasi-Majorana resonance detection [25,26], stronger dissipation regime [35] is preferred which can effectively 'filter out' trivial ZBPs [34,49,51,52]. Since in the weak dissipation regime, the heights of ZBPs induced by zero-energy ABSs could either increase (Fig.…”

Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island

“…In addition, this non-local feature is directly associated with the topological protection of the potential Majorana-based quantum information processing. This fact has inspired multiple recent theoretical [33][34][35][36][37][38][39][40] proposals and experimental [41][42][43][44][45][46][47][48][49][50] efforts.…”

Plateau regions for zero-bias peaks within 5% of the quantized conductance value $2e^2/h$

“…This work is from a single device whose quality is an improvement over our previous one [14]. Besides the 'end-to-end' correlation experiment to reveal gap-closing-reopening [39][40][41], future devices on 'single-terminal' experiments could aim at 1) looking for zero-bias peak-to-dip transition near 2e 2 /h with better tolerance [14,16,19]; 2) using a strongly dissipative probe to reveal quantized ZBPs and suppress non-quantized ones [42][43][44][45][46]; 3) looking for ZBP quantization in potentially better material systems [47,48]. The device conductance G as a function of V was directly calculated by dI/dV .…”