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Cat Qubits

Cat qubits are quantum bits encoded in Schrö­din­ger “cat states,” which are super­po­si­ti­ons of two coher­ent states of a harmo­nic oscil­la­tor, typically micro­wave photons in a super­con­duc­ting resona­tor. Instead of using two discrete energy levels like a trans­mon, a cat qubit uses two opposite-phase coher­ent states ∣α⟩∣α⟩ and ∣−α⟩∣−α⟩ and their super­po­si­ti­ons as its logical states, so the quantum infor­ma­tion is distri­bu­ted over many photons in a single bosonic mode. This bosonic encoding makes cat qubits a prime example of bosonic codes, where an infinite-dimen­sio­nal oscil­la­tor Hilbert space is used to realize an effec­tive two-level system. The main motiva­tion for cat qubits is hardware-level protec­tion against errors, especi­ally bit-flip errors, by enginee­ring the system so that transi­ti­ons between the two coher­ent states are exponen­ti­ally suppres­sed while phase-flip errors increase only linearly.  In super­con­duc­ting imple­men­ta­ti­ons such as Kerr-cat qubits, tailo­red drives and dissi­pa­tion stabi­lize these cat states in resona­tors, leading to stron­gly biased noise where bit flips are rare, which in turn makes quantum error correc­tion more effici­ent and has enabled long-lived quantum memories and steps toward fault-tolerant architectures.

 

Topics in the Subfield Quantum error correction:

Select another topic within the subfield Quantum error correction

Surface codes

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Cluste­ring

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Magic Gate iIjection

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Code switching

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Lattice Surgery

Lattice surgery is a method for imple­men­ting logical gate opera­ti­ons between qubits encoded in topolo­gi­cal quantum error correc­tion codes, particularly…

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