Table 3 Comparison with existing state-of-the-art works in terms of watermarking security and robustness. Watermark security consists of preventing access to the original watermark and verifying its authenticity, and robustness refers to the performance under a quantum bit-flip channel. Italics are our results, bold are the best results while underlining is the second best. DCI stands for detectable copyright infringements.

From: Enhancing quantum audio watermarking security through joint verification and certification

Watermark Security

Robustness under quantum bit-flip channel

in terms of BER

Methods

Watermark

Authentication

DCI

Watermark

Protection

Approach

1-p=0.01

1-p=0.02

1-p=0.05

1-p=0.1

16

\(\times\)

/

\(\surd\)

Watermark

Scrambling

0.01

0.03

0.06

0.10

pMSQ115

\(\times\)

/

\(\times\)

/

0.01

0.03

0.05

0.08

pMSQ215

\(\times\)

/

\(\times\)

/

0.01

0.03

0.04

0.07

20

\(\times\)

/

\(\surd\)

Watermark

Scrambling

0.02

0.05

0.09

0.16

21

\(\times\)

/

\(\surd\)

Watermark

Scrambling

0.01

0.03

0.05

0.08

22

\(\times\)

/

\(\times\)

/

0.00

0.00

0.01

0.09

Our scheme

\(\surd\)

Stealing,

impersonating,

tampering,

imitating

\(\surd\)

Watermark

Key

0.00

0.01

0.03

0.06