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Roadmap to a large error-corrected

quantum computer

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Google Quantum AI's mission is to lead development of large, error-corrected quantum computing and make its benefits universally accessible and useful

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Logical qubit prototype

M1 (2019)

M2 (2023)

M3 (2025+)

M6

# physical qubits

M5

M4

[logical qubit error rate]

54 [-]

102 [10-2]

103 [10-6 ]

104 [10-6 ]

105 [10-8]

106 [10-13]

Beyond classical benchmark

1 long-lived logical qubit

Tileable module (logical gate)

Engineering

scale up

Error-corrected (EC) quantum computer

Our ~10 year roadmap to building the first large error corrected quantum computer defines our critical path of scientific demonstrations and engineering scale up milestones.

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Logical qubit prototype

M1 (2019)

M2 (2023)

M3 (2025+)

M6

# physical qubits

M5

M4

[logical qubit error rate]

54 [-]

102 [10-2]

103 [10-6 ]

104 [10-6 ]

105 [10-8]

106 [10-13]

Beyond classical benchmark

1 long-lived logical qubit

Tileable module (logical gate)

Engineering

scale up

Error-corrected (EC) quantum computer

Our roadmap philosophy is to frontload invention, developing the scientific proofs-of-concept which are needed to make quantum computers work at scale

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M2 (2022)

M3 (WIP)

M1 (2019)

(Nature)

(Nature)

Logical error rate per cycle

10-2

10-3

10-4

M2

M3

10-5

0 5 10 15 20

10-6

10-7

Code distance

0 5 10 15 20 25

Quantum error correction cycle, t

0.45

0.40

0.35

0.30

0.25

0.20

0.15

0.10

0.05

0

Logical error probability, pL

Cross-entropy benchmarking

fidelity, 𝐹XEB

12 14 16 18 20

Number of cycles, m

10-1

10-2

10-3

We are in the process of building a long lived logical qubit (M3)

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Running the Milestone 1 Random Circuit Sampling benchmark on our 2023 quantum hardware, would take the world’s best supercomputer 1B years to reproduce.

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We believe Effective Quantum Volume to be the most honest and useful measure of the capabilities of today’s quantum chips

The usefulness of a quantum chip is defined by the size of program you can run on it without noise degrading the quantum state of the output.

I.e. the number of quantum operations (i.e. gates) that can contribute to a measurement outcome.

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The usefulness of a quantum chip cannot be determined by counting qubits alone. Qubit counts need to be coupled with information on eg qubit quality and error rates to assess the capabilities of a quantum chip.

Coherence,

Gate Fidelity

Qubit Quality

Overall error rate, Error correction

Error Rate

Number of qubits

Qubit Count

Operations per unit of time

Speed

How qubits can interact

Connectivity

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As the industry progresses towards large scale quantum computing, it is critical that hardware companies work together and with suppliers to develop the quantum supply chain.

Scaling quantum computers requires lower component cost per qubit. Hardware companies can support suppliers’ growth to improve yield and achieve economies of scale.

Cost drivers: Cryostats | Wiring | Electronics

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Google Quantum AI's mission is to lead development of large, error-corrected quantum computing and make its benefits universally accessible and useful

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Logical qubit prototype

M1 (2019)

M2 (2023)

M3 (2025+)

M6

# physical qubits

M5

M4

[logical qubit error rate]

54 [-]

102 [10-2]

103 [10-6 ]

104 [10-6 ]

105 [10-8]

106 [10-13]

Beyond classical benchmark

1 long-lived logical qubit

Tileable module (logical gate)

Engineering

scale up

Error-corrected (EC) quantum computer

We believe that today’s experimental processors best serve the world as a research tool for advancing the field towards the era of commercially useful quantum computing.

experimental quantum processors

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Our processors are already being used for new discoveries

Formation of robust bound states of interacting microwave photons

(Morvan et al., Nature 2022)

Noise-resilient edge modes on a chain of superconducting qubits

(Mi et al., Science 2022)

Quantum advantage in learning from experiments

(Huang et al., Science 2022)

Non-Abelian braiding of graph vertices in a superconducting processor

(Andersen et al., Nature 2023)

Traversable wormhole dynamics on a quantum processor

(Jafferis et al., Nature 2022)

Measurement-induced entanglement and teleportation on a noisy quantum processor

(Hoke et al., in review at Nature)

Unbiasing fermionic quantum Monte Carlo with a quantum computer

(Huggins et al., Nature 2022)

Dynamics of magnetization at infinite temperature in a Heisenberg spin chain

(Rosenberg et al., in review at Science)

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Selected quantum applications research results

Google Quantum AI results

Selected other group results

Google Quantum AI ongoing research

Our next challenge is to demonstrate a useful beyond- classical computational application to cross over the quantum utility frontier

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We offer a full stack Quantum Research Platform (hardware + software) to a small circle of expert users to run quantum programs on Google’s quantum hardware

the only beyond classical offering

a product designed to remain at the cutting edge of development

Beyond Classical

Chip Performance

Evergreen

Experimental

built by and for researchers

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Large error-corrected quantum computers will achieve commercial and societal impact if the global quantum ecosystem collaborates on and funds fault-tolerant applications development

O(√N) vs. O(N/2)

O(N3) vs. O(2N)

O(NC) vs. O(2N)

O(NC) vs. O(2N)

unstructured search

(Grover’s algorithm)

factorization

(Shor’s algorithm)

quantum simulation

(e.g. physics, chemistry)

quantum ML

(esp. with quantum data)

O(NC) vs. O(2N)

differential equations

(e.g. oscillators)

Work with us in Qᴜᴀʟᴛʀᴀɴ, an open source library which accelerates

fault tolerant applications development! See github.com/quantumlib