![]() ![]() However, the quantum counterparts of these inference problems may need purely quantum algorithms to perform statistical inference, such as in classical communications over optical channels. Probabilistic graphical models and message passing algorithms on graphs form the engine for classical statistical inference. Statistical inference is ubiquitous in today's world, particular settings being correcting errors in communications and data storage. I will describe our new quantum error correction based protocol that enables multipartite entanglement distillation in networks. Since the channels between different nodes are noisy, one needs to develop reliable schemes to distribute and distill high-fidelity entanglement. ![]() In quantum networking, a key task is distilling entanglement between the different nodes so as to enable various network protocols such as distributed quantum computing. As part of this work, we have released open-source software and also addressed hardware-inspired questions in a trapped-ion system. In the context of quantum computing, I will describe how our algebraic methods have helped answer some important questions about logical computation that have both fundamental and practical implications. In this talk, I will discuss some of the challenges arising in the different applications mentioned above. The design criteria for error correction also varies with applications and hardware technologies. However, bringing error correction theory to practice still poses several challenges spanning the realms of mathematics, physics, engineering, and computer science. Seminal work in the 90s established that noise is not a fundamental bottleneck for quantum technologies, and today we have several strategies for performing error correction. While small-scale realizations are possible today, a key challenge to scalability is the decoherence of quantum information. It is now clear that by leveraging quantum phenomena we can achieve unprecedented advances in multiple applications such as computing, communications, and networking. Abstract: Quantum technologies are steadily becoming mainstream, and recent years have particularly seen several exciting developments. ![]()
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