My top 10 ghosts (solo acts and ensembles). If Bruce Willis being a ghost in The Sixth Sense is a spoiler, that's on you — the movie has been out for 26 years. Einstein and I have both been spooked by entanglement. Einstein’s experience was more profound: in a 1947 letter to Born, he famously…

Quantum Frontiers is a platform dedicated to exploring the frontiers of quantum science and technology. Readers can find articles, interviews, and discussions on topics such as quantum physics, quantum computing, and quantum information theory. Additionally, they can learn about quantum experiments, quantum communication, and interdisciplinary research in quantum science.

Quantum Frontiers

Logical entangling gates on quantum computers are expensive, requiring many noisy physical operations. Phantom codes are a new class of quantum error-correcting codes that enable logical entanglement between qubits through physical qubit permutations alone, achieving zero overhead and perfect fidelity. These codes can be implemented by simply relabeling measurement outcomes rather than executing physical gates. Research identifies hundreds of thousands of phantom codes and demonstrates they can outperform surface codes by one to two orders of magnitude for entanglement-heavy tasks like GHZ-state preparation and many-body simulation, though with tradeoffs in stabilizer weight and qubit count.

Spooky action nearby: Entangling logical qubits without physical operations

Phantom codes: Logical entanglement without physical operations