Quantum Computing Without Magic can be used as a complementary text for physics and electronic engineering undergraduates studying quantum computing and basic quantum mechanics, or as an introduction and guide for electronic engineers, mathematicians, computer scientists, or scholars in these fields who are interested in quantum computing and how it might fit into their research programs. Quantum Computing without Magic gives a refreshing and down to earth approach to quantum information as well as quantum devices which will have a fundamental impact on the technology of the 21st century.

Timothy G. Mattson , Alice E. Koniges , and Helen He. Richard J. Lipton and Kenneth W.

Eleanor G. Mermin N. Kindle edition. Oliveira I. Everitt H. Year Barnett Stephen M. Year Awschalom D. Brylinski Ranee K.

## How Space and Time Could Be a Quantum Error-Correcting Code

Hardy Yorick, Steeb Willi H. Kitaev A. Lomonaco Samuel J. Year Alber G. Antoniou I. Hardcover Kindle Averin Dmitri V. Braunstein Samuel L. Gonis Antonios, Turchi Patrice E. Macchiavello C. Year Feynman Richard P.

Nielsen Michael A. Re-edition pending.

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Williams Colin P. The following list contains all volumes available on Amazon, listed in reverse chronological order. It may include also Volumes which were announced but are yet to be issued. In exploring how the duality works, as hundreds of physicists have in the past two decades, Almheiri and colleagues noticed that any point in the interior of AdS space could be constructed from slightly more than half of the boundary — just as in an optimal quantum error-correcting code.

In their paper conjecturing that holographic space-time and quantum error correction are one and the same, they described how even a simple code could be understood as a 2D hologram. The code protects the point against the erasure of any of the three qutrits. Of course, one point is not much of a universe. Each Tinkertoy represents a single space-time point. Overlapping regions on the boundary will have overlapping entanglement wedges, Hayden said, just as a logical qubit in a quantum computer is reproducible from many different subsets of physical qubits.

## Microsoft doubles down on quantum computing bet - The AI Blog

But de Sitter space, lacking a spatial boundary, has so far proven much harder to understand as a hologram. For now, researchers like Almheiri, Harlow and Hayden are sticking with AdS space, which shares many key properties with a de Sitter world but is simpler to study.

Perhaps most importantly, both kinds of universes contain black holes. The language of quantum error correction has provided a new way of describing black holes. Ignorance invariably abounds when it comes to black hole interiors. Physicists need a quantum theory of gravity to understand how things that fall in black holes also get out.

The issue may relate to cosmology and the birth of the universe, since expansion out of a Big Bang singularity is much like gravitational collapse into a black hole in reverse. Video : How does gravity work in the quantum regime? A holographic duality from string theory offers a powerful tool for unraveling the mystery.

AdS space simplifies the information question. Now, he thinks quantum error correction is what stops firewalls from forming, by protecting information even as it crosses black hole horizons. He speculates that quantum error correction, as well as preventing firewalls, is also how qubits escape a black hole after falling in, through strands of entanglement between the inside and outside that are themselves like miniature wormholes.